Question
Direction : Among given options only for this figure perpendicular bisector theorem is used.
![](data:image/png;base64,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)
If AD = 8 units, find BD.
![4 space square root of 5](data:image/png;base64,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)
![2 space square root of 5](data:image/png;base64,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)
![4 space square root of 3](data:image/png;base64,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)
- 4
Hint:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
The correct answer is: ![4 space square root of 5](data:image/png;base64,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)
AD = 8
AB = 12 units
BD = ![square root of 12 squared space minus space 8 squared end root equals space square root of 144 space minus space 64 end root space equals space square root of 80 space end root equals space 4 square root of 5](data:image/png;base64,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)
the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.
Related Questions to study
Direction : Among given options only for this figure perpendicular bisector theorem is used.
![](data:image/png;base64,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)
If BD = 5 units, find AD.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Direction : Among given options only for this figure perpendicular bisector theorem is used.
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)
If BD = 5 units, find AD.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Find length of perpendicular bisector of CB
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Find length of perpendicular bisector of CB
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T
Which of the following triangles have the same side lengths?
Which of the following triangles have the same side lengths?
From the diagram given below, which of the following option is true?
![](data:image/png;base64,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)
From the diagram given below, which of the following option is true?
![](data:image/png;base64,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)
If the perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of the third side will be
If the perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of the third side will be
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?![](data:image/png;base64,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)
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?![](data:image/png;base64,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)
Identify the rule by which the following triangles are congruent
![](data:image/png;base64,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)
Identify the rule by which the following triangles are congruent
![](data:image/png;base64,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)
Find the value of angle ABC if AB = BC.
![](data:image/png;base64,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)
Find the value of angle ABC if AB = BC.
![](data:image/png;base64,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)
From the diagram given below, which is true for two triangles?
![](data:image/png;base64,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)
From the diagram given below, which is true for two triangles?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAACzCAYAAAA0eP9CAAAgAElEQVR4nOydeVxVxfvHP/eyI7K7gAhuCBIIbkgC4gKampblbmllbrmbS2plaVquSVhpbqGmX01NUVlcQEQUFxQJUVBZRUQRFEQQuPf5/eHvnM65XFT0AvfCvF8vXsA5c+bMmTPnmWeeeeYZCRERGAwGg/FGSGu7AAwGg1EXYMKUwWAwVAATpgwGg6ECmDBlMBgMFcCEKYPBYKgAJkwZDAZDBTBhymAwGCqACVMGg8FQAUyYMhgMhgpgwpTBYDBUABOmDAaDoQKYMGUwGAwVwIQpg8FgqAAmTBkMBkMFMGHKYDAYKoAJUwaDwVABTJgyGAyGCmDClMFgMFQAE6YMBoOhApgwZTAYDBXAhCmDwWCoACZMGQwGQwUwYcpgMBgqgAlTBoPBUAFMmDIYDIYK0K7tAtRdCDfPHsQ/4fEo1TVBp54D0bdLa5X3XuUFmQjaux//3n0CU9u3MHDQALQy11XxXRiMN0WGpNNHcTAyFjJ9S3Tp1R++nVpDUtvFUiESIqLaLgSDwWBoOmyYr2K4vklZH/WicwwGQ7NhwlTFSCQSyOVySCQSREREoGPHjmjTpg1GjBiB/Px8AEyY1ify8vIwZMgQODg4oF27dmjXrh0cHR3Rs2dPLF26FPfu3avtIjJUBLOZVgNS6fM+6uDBg7hy5QoA4P79+7h8+TJ8fX0hkUhARJBI6pLFiKGMsrIy3Lx5E8nJyZBKpXxnm5SUhFOnTiEmJgbbt2+HhYVFbReV8YYwzVTFcFrnvXv3EB4eDmtra4wbNw6FhYX4559/ADzXXpkgrR9wHaupqSkiIyNx//59PHjwADt37kTjxo0REhKCqKioWi4lQxUwYVpNXLhwAQkJCejVqxe++OILWFhY4MSJE7hz505tF41Rw3BmH3Nzc5ibm8PCwgLDhg2Dh4cHiAjZ2dm1XUSGCmDCVMVww7iQkBAAgI+PDzp27Ahvb28kJyfj9OnTtVxCRk3DaafcbwC4dOkSrl69CgAwMTGplXIxVAsTptXA3bt3ER4ejqZNm8LT0xMAMGDAAADA0aNHUVJSUpvFY9QgRASpVIr8/HwMHjwYHTt2ROfOnTFo0CCkp6fDw8MDPj4+tV1MhgpgwrQaiI6ORnJyMjw8PGBrawsA8PT0hI2NDSIjI5GamlrLJWTUFBKJBFpaWgCAGzdu4MqVK4iNjYW+vj7GjBmDLVu2oFmzZrVcSoYqYLP51cCJEycAAMePH4eDgwOICHK5HLm5uSgvL8exY8fQrl27Wi4lo6YoKyuDiYkJDhw4ACcnJ8hkMujr68PY2Bg6Ojq1XTyGimCa6RugzF80LS0NERERkEgk0NXVRVFREYqKilBSUgJDQ0MAwLFjx9hQvx5BRNDS0oKVlRWaNm2KZs2awcLCAtra2iAi5ndcR2DC9A1RXNV07tw53L59G7169cKtW7eQlZWF7Oxs5OTk4OzZs7CyskJkZCTvf6osD0bdgfMnlslkkMlkonNVdY9jgle9YcL0DeCc7znXl5KSEuzduxcA0KtXL5ibm8PAwAAGBgbQ1dWFo6MjfHx8UFRUhEOHDgH4T4DK5fJaew5G9UFEKC0t5duKIpX5HHPtCgCKi4uxadMmFBQU8Pkwwap+MJvpG8BpHVyjLisrQ58+feDu7o5hw4aJ0nFDvalTp6J169awt7dHSUkJdHV1mRN/HcbQ0BAzZ85EYWEhmjZt+srXCdvDvXv3sH37dty+fRtffvklGjVqJBrNsLajHrCoUW8Ap5EC/zVq4f9CFM8L0wg/CPZh1B2496v4zl/1HXNpAwMDYWJiAnNzc/z999+YPXs2WrZsCblcLvJdZdQu7E28IYoCVC6XQyaTVRCqQg2WiCCTyXiNVSqVMg2jDiOXy/l3XpV3zKWNi4uDq6srunfvjo8++girV69GfHw8E6RqBnsbbwDXmBU1S6FwFH48wsYvlUr5wBfc/2yQULdQHG28jvDLzMyEvr4+mjRpAgDo2rUrpk2bhl9++QXR0dGitDU1kcnaqXKYMFUBnNDkhKNQiCr+LzzG/S08zqhbCN//67zfpKQkWFlZ8W51RARHR0d8++232L17N4KDg0X3qsmJKeaFIoYJUwZDjUlOTkbbtm1Fx4gItra2WLp0KSIiIrBz507R+eoc/gsFp1AhYAKVCVMGQ20pLy/HrVu30KFDB9FxLpiOmZkZlixZgrS0NGzcuJGfEK0uwSY0Zwnds5i9/zlMmDIYakp6ejp0dHTQpEkTkd+pcHhtYGCAr776CiUlJVi5ciXv06pqFOcF3tR8URdhrlHVhKIPKmtwjKqyfft26OrqYsSIEbwblNAdT7hjg1wux/bt23Hz5k3MmTMHZmZmAJQPy18XLq+kpCRERkZCT08Pnp6esLe3f6N86wpMM30DOJcXjmfPnuHx48ei88LGz2BUhevXr8PJyQnAf4JTOMnJHQee20k/+eQTdOrUCUuWLEFOTg6fz+voS0LtVziUv3v3LsaPH49Jkybh008/hZ+fHw4fPixKW19hwvQN4NyZuAa0Y8cOzJo1C0+ePOFn95kvIKMqCLe9AcCHcHwVQSWXy/HBBx9g0KBBWLp0KW7fvv1aw3DF+3DXy+VyWFtbY968eZgzZw6WLVsGmUyG6dOnIzExsd4P+dlyUhXx+PFjpKSkoG3btoiNjYWPj0+97qUZVUfYXtLS0tCgQQOYmpoq9VkWwo1+uOF+z549YWJiAn9/f4wfPx4uLi5VbouKi0yE1w8cOBADBw4E8Hy57JdffokzZ87wWnR9halNb4Bw2BUcHAxXV1eMHTsWR44cqe2iMTQQobCMj49H+/btAfwXBOdFwXA4gceZljp27IgZM2bgt99+Q3R0dJU0RqHwVDQpEBG/v1l2djaio6Mhl8tRWlpa5eetazBh+gZwjevJkyeIj4+Hl5cXrKys0LhxY5w9e7ZeD3kYVUNR+7t27Rq6du0KANDS0nqh+5HQjqqlpcWbllq3bo3Fixfj4MGDog7+ZRHKuOslEgny8vIQGxvLa793797FrFmz4OHhAScnJ+zbtw/t27dH37593+j56wJMmL4BXAOPjY1F48aN+e0nevfuzW+cxxyaGa8K155SUlJES0gBiJYeK0PRTYkTzk2bNsXXX3+NqKgoBAYGimb/FeOrCsvBtdnw8HD07t0bGzZsAADY2NhgwYIFMDIyQr9+/bB69Wrs2rUL9vb2bAKqtgugyXCCMiwsDIMHDwbwvCG6ubnhyZMnuH37Np+OwXgZnEZ46dIluLi4vFFeXJuTyWQwMTHBkiVLcOfOHaxfv75Kk6NZWVl4/PixSPB27NgR+vr6sLW1xZdffom33nqL13brc1tnwvQNuXDhAszNzdGiRQv+mFQqhZ+fHz+0YoGfGS9DOIK5devWG/tuKkYk09PTw7x586CtrY0ff/wRz549e6mmCwCtWrUC8Ny3tKSkBE+fPsXvv/+O9PR0PHr0iL8XG4ExYfrGREdHo1u3bgDEQtPd3R05OTnIzMxk7lGMV4KzUT5+/FgljvBC4UZE0NHRweTJk2FjY4OlS5eisLCw0nJw1/r6+mLMmDHYuHEj/Pz80L9/fyxfvhz6+vrw8/MT3ac+a6UAE6ZVQnG7iIyMDNy/fx/dunWr4JxvYGCAjh07IjIyskIewt8MBvBfe8jKyoKWlhbMzc3fOD+hnVUYUerjjz+Gh4cHlixZwvuzCq8TarQGBgb4+eefMW3aNCQnJ+Py5cto27Yt/P398d577wEQ23Mra9f1wZ7KlpO+Ioq9vFQqxapVq9C1a1d0796dD/4rnFktKirC119/zffkitT3npxRkc2bN8Pc3BwffPCByvNWXFp6+vRp7Nu3D9OnT0ebNm0qBDLhJqq4Y+np6bh//z5atWoFS0vLCvlyAjs0NBR79uxBcXExvLy88Omnn8LIyEilS1vVEmK8MnK5nORyORERZWRk0IIFC6iwsJA/J5PJKqT7888/6e+//+aPExGfjsHg4NrEtGnT6M6dO9V+L64txsXF0cSJEyk2NpaI/mujwvb8svbKXVNaWkpLliwhPT09AkDa2toEgHx9fSk9PZ1Py6Wva7Bh/itCCgp8dHQ0XF1dRT2uMFo+1/P6+vri8uXLKC4uFgWmYDCESKVSpKamwtTUFBYWFtVyD+GMOxdXwtXVFbNnz0ZgYCBOnTolMgcId4yg/18QwJ3j2rnwu9i9ezeWL18ObW1t/PTTT7hy5QoCAgJw/vx5LFiwACUlJXW67TNhWgW44fvTp09x8eJF3lFZcYUK1/AAoFmzZrCwsEBsbCyfB4OhjGvXrsHKygr6+vrVYl/khKhcLoeWlhaA5222bdu2+Oabb3D06FEEBQXx7ZwUTFuVLWmVSCR48OABfv31V5SUlGDJkiWYP38+nJ2dMWHCBPj4+ODkyZN13lWQCdNXRNgAjh07BhcXF37dtHDFiBCuMfbr1w8nT54UHWPUDUjJxIoyre1VSElJgaOjo8rKpgxle5QRESwtLfHNN98gNjYWu3btqnCdYlAfQBzjNCUlBVeuXIG3tzc+++wzPo1MJoOtrS1MTU2hrf08FMijR4/45ad16XtgwvQV4V56SUkJLl68CG9vbwDKA+Uqbpbn5OQEqVSKy5cvv3TWk6H+0P9PNio7zr3XqvoWl5SUID09nV+PXx3a24sCOhMRjI2NsWjRIty5cwe///57BW20slVWAKCvrw8tLS00btwYxsbGfL4GBgZYu3YtAgMDYWtri8zMTAwfPhz+/v58nnXFD1vru++++662C6EJcA3rypUryMjI4N1CXhU9PT2cPHkSXl5e/LG6Otyp63AdJve38Dj3WzhieRXS09MRFxeHQYMG1YpdnSuztrY2PDw8cOXKFRw7dgwdO3aErq4un05oTxU+r6mpKRISEhAUFAQTExPIZDKcP38ezZo1g5GREWxsbFBSUoJp06YhKCgIUqkUbdq0gaGhIb9ZoKbDNNNXhGs4hw4dwrBhwwBUTbvs3Lkz8vPzkZmZyVaL1AGICEVFRXzsWkVBWlUiIyPRpUsXAM+HxjXVPpS5QmlpaWHSpElo0aIFVqxYwa904lAc8svlcujr62Pp0qXo2rUrZs6cCW9vbwwbNgwBAQH8dcuWLcOePXtgYGCAW7duYejQoejfvz8fx0LTYcL0FZFIJLh8+TIaNGiANm3aQCaTVUl70NbWRo8ePfglpkwr1Wz+/vtv+Pn5oV+/fpg3bx52796NlJQUXigJPTtehcTERH6Iz00O1QSKWrBQUI4ePRqenp68c7/icwmfVS6Xo127dti3bx+WL1+OwYMH44svvkDv3r0BAL///jvWrFkDc3NzBAYGIikpCbt27cLt27cxe/Zs5OXl1dgzVxuq8bCqewj97Th++eUXOn36dIXjr5rf06dPaf78+ZSTk/NaeTBqB8X3FBsbSzY2NgSAJBIJASCpVErNmjWjbt260ffff0/Z2dmvnF9mZiYtWrSICgoKKk1TXQj9SSs7FhMTQ7Nnz6abN2+K0ijzSRWe5zh48CCZmJiQqakp7d27lz+ekpJCLVq0IBMTEzpw4ADduXOHysvLVfp8NQnTTJVAJN7GFgDu3r2LzMxMfh3+6+RnYGAANzc3hIeH88eF5xnqh/C9cH9zfsMrV67Erl278P3336N3797Iz8/H2bNnsWnTJjx58uSFeQrfeWpqKoyNjdGwYcMK+4pVN0L7b2XHunbtinHjxsHf3x9Xr14VpRWWVSaTVdj37OTJk/j8889RUFCA7777DkOHDgUAlJaWYuXKlUhLS0NhYSHGjh0LFxcXzJkzBw8ePKiux61W2LYlShBuAcFx6NAh9OzZE1paWqL9yV91uM6l69mzJ9auXYtBgwZVMLxXJT9GzaBsgsnIyAhOTk74/PPP+V1Ai4uLkZOTg4sXL+LevXuwsbF5YZ7Cd52YmIi33nqrwv3UCScnJ8yfPx8///wzBg0aBB8fHwD/bZmiuHMqh52dHdzd3WFvb4/Jkyfz16xatQobNmyAtbU1Vq5cCS8vLwQGBmLx4sXQ1tbGqlWrNO97qFlFWDNQXPJ27949mjdvHj169IiIxMvxqpInN4T55ZdfKDg4mD8u/M1QPxTf0e3bt8nDw4N27txJZWVllV5T2TtVHCJPnTqVcnNz+f/VcbkxV97c3FyaN28eHThwgD+ubCm18FheXh7/7RARbd++nQwNDcnIyEg07I+KiiJtbW3y8vKioqKimno0lcGG+UrgekNOM+U2CzMxMeH3L68KRCTqZQcPHozw8HCRhsulY6gf3HuRSCTIyMjA+PHjERMTg7Fjx8LPzw8//vgjQkNDkZ2dLUpf2fsUalu3b9+GkZERLCws+CF+VSevagoigoWFBb755hvExcVh27ZtIt9T4UiOa+9EBFNTU5iYmAAAjh8/jnnz5uHp06dYsmQJhgwZAuD5hpT+/v4oLy+Hs7MzvwpMHeuhMpgwVYLw4yktLUVMTAwGDBjAH6vqC1Z0kraxsUGTJk1w4cIF1RWaUW0I3/mOHTsQHh4OKysrWFhY4PTp01i4cCEGDRqE7t27Y9KkSSgqKqp06SUgNufExMTAzc2Nvw93Xt0QrpYyMjLCwoULUVRUhF9++YX3bFE0iShTFIqLiwEAkydPxpQpUyCRSCCTybB06VLs27cP7dq1w4wZM166TYs6woSpEuj/19ZLJBIcP34cbdq04UOOVbaC5GUoGvV79eolmojStIZT3+A++qSkJHh7eyMmJgYxMTHYvn07pk2bBhcXF9y6dQt5eXnQ0dHhr6kMTrikpKTAwcGBTy8M4aiOcOXS09PDF198gQYNGuCnn37iA/kIA6UA/23Fwh0bNGgQwsLC8N133/GLATZs2IB169bB0tISAQEB/JJaTfsu2ASUErhGXVZWhosXL+Ljjz9W+T06duyIoKAg3LhxA46OjnwsVIb6oqWlhQ4dOkBXVxc2NjaQSqVo2bIlRo0ahcePHyM1NRW6urq8kKhMGHDHHjx4gKKiItjZ2dXoc6gKiUSCcePG4eDBg/jxxx8xa9YsmJmZKV3Hz01QERHvT0tE2LdvHxYtWgRjY2OsX78evXv3VkvN/FVgX68ShLOsWlpaaN26dbXcx9fXF0ePHgUAJkg1gOTkZMTExCAkJAQ7duxAcXExP4IxNTVFhw4d4OTkBODFQ3XuXEZGBnR1dXmPAE2D00Lff/99eHt7Y/ny5bhz506FNABEtmDh0D82NhaFhYVYsmQJhg8frrGCFGDC9IUcPHgQAwcOrLb8O3fujPv37/NLTBnqh/DjDg0Nxd69e3H37l18+umncHR0xOTJk/Hnn38iNjaWX1qqeF1l+V26dIlfQqqJCENO+vn54cMPP8SKFSuQnJxcYbjPIRz2S6VSLFiwAKGhofjkk0/4PDV1uXW9DnTyIpvM9evX8e+//2LEiBEAqsf/T1tbG3l5ebh58ybc3NyqfI/CwkI8ePAAZWVlMDAwYAK5GhCuube0tESnTp1gbm6OvLw85ObmIiYmBocOHcJff/2Fhg0bolu3bvzM9otsnxKJBH/++SdGjRoFIyOjmnwklcMJzebNm8PW1hYbN26EpaUlmjVrVmG2X3GSSl9fH61bt4aOjo5IexXWu6ZQZzVT7gVzdhplv4XphMeA5y4cPXv2rNaXSUR47733cPXqVRQUFLzwORTLCjyfWba1tYWLiws2bdqE8vLyCtcwVEfr1q0xZswYbNmyBQkJCTh16hRWrFiB4cOHw8zMjI+Q/yJByh1PSUmBiYlJtUXVrwm4Z+FCTgKAs7Mz5s2bh7179/ITrIA4yr+yuhFOvqn7JFxl1FlhyqFsqZxQ0Chb4ZKTk4Ps7Gx07dq12sunr6+PDh064MSJE698DVdODw8PeHl5gYgwe/Zs/O9//6uQhvFmCDuyI0eOYPjw4bhw4QKMjIzQpUsXzJw5E3/99RdiYmIwZMiQl2qkHHFxcbC3t+cDJtcViAjW1tZYuHAhIiIicOjQIQDi766udvR1VphyDbq8vLxC/EVAPLuoOKQIDg5G586dYWBgoHSJnKrgGpWPjw+/3lt4nEMul6OgoKBCY+zYsSNOnz6NmJgY2NraYsuWLSgoKNBYm5M6wrWjffv2YejQoTh48CB/LiUlBSNHjuTjdjZo0OCVNaq0tDR+YrOuvSu5XA5TU1MsWrQI165dw/bt2yGRSPil2HWVOitMAeDo0aNwd3eHq6srfvvtNzx48EAURowTsMLG/OjRIyQlJcHX1xfAc6HLDZ9ViVCI29rawszMDJcuXQIg7sUlEgnOnDmD4cOH4+rVq5BIJCgpKUFERASioqIAAI0bN0azZs2QlpaG/Pz8Cnkw3oy8vDysXr0atra22LFjB+/ac/XqVQQFBWH27NnIzc3l61xxTzBFCgsLkZmZqfbr8V8Xrh709fUxZ84cFBQUYN26dXj27Jnaru5SCS9fcao5CNdCJyYmUps2bfjwaACoc+fO9M8//9CzZ88qpOcICgqiLVu28OeFP6pGuMb/9u3b9NVXX1V4lrKyMhozZgwBoN9++42IiIqKimjo0KFkbGxMEyZMoA8//JAAkI+Pj2jraYZqiI2NJTMzM1q1ahUR/Ve3jx8/pnHjxhEAOnnyJBE9f6cvi90QHx9PixYtEuVVl1Bcm09EtHXrVlq2bJlGrrl/VeqMZqo4sXTmzBk8evQI27dvx/bt29G1a1dcunQJgwcPxqhRoxATE8NfS//fU5aXlyMqKgp9+vQB8OI9c1QF/f9kUatWrWBiYoLz58+LzhcXFyMhIQEODg54//33AQCGhoZ49913IZfL8b///Q/79++HlZUVZs2aJZoZprqqAdQwJSUlKC0t5ScJubZgbGyMDh06APgvoLPi/l/c+xW+i+joaLi7u4vO1yWEE1Mcn376KZydnbFs2TI+EDS3j1ZNhx2sLuqE9Vs4nBLaP99++20MGzYMenp6GDBgALZs2YKff/4Z+/fvR2xsLA4dOsQP2QDg3LlzaNy48QvDp6kSzm7L4enpibNnz6Jr1678cxgYGKBVq1aIjo5GTk4OrKyskJubi5CQENja2mLDhg0oLy+HtbU12rZtC4AJUVVjZ2eHli1bwt/fHzKZDEOGDIGlpSUePHiAnTt3ol27drC3t3/l/JKTk/HOO+8AqHtDfGVw7XHQoEEwNTXF6tWrMWXKFDRr1kyURuProjbUYVUjHIqXl5fTrl27qG/fvuTg4ECXL18Wpc3IyKDJkyfT5MmT6enTp6I8vvnmG7p+/XqNl1sYXfyrr76i9PR0UbrDhw+Trq4uubq60tSpU8nT05MA0Lvvvit6BmEYNHUM46apyOVyCgwMpAYNGvBmo0aNGpG+vj5JJBL66aefXnitcCiflpZGixYtoqKiIv7d18WhvhDF9hgbG0uzZ8+mpKQkInq9kJbqSJ0SpkREgYGBpK2tTQAIADk4ONCOHTt4WyIRUWlpKT158kR03dWrV2np0qU1WmahfY1rbCdPniR/f39R2pKSElqzZg1ZWlryz+Xi4kJnz54lIhIJ4+q289ZXysvL6fjx4zRw4ECyt7cna2trcnR0pBUrVrzQDqgoKMLCwmjdunVE9F8bqOvviXs+rr0TESUlJdHcuXPp/PnzojSajISo7owJi4uLMWjQIOTl5WHEiBE4fPgwoqKiIJVK4evri/nz56NHjx5KHYbXrFmDrl27irZirm5I4OrE2ZkKCgqwYsUKTJkyBdbW1qLhT1xcHGJjY6Gvrw9PT0+0aNFCFCtVmA8JvAEYbwYpDEGzs7NRUFAAS0tLPg5pZbEVFN/Dr7/+irZt28LPz09p3nUZ7lm5+rp79y78/f3Rq1cv9O3bt7aL9+bUighXMVyv9vDhQ/L19eWjdz99+pT++OMPsre3JwCkra1NP/zwAz+04jS6tLQ0WrhwYa2VX5HAwED+GV6mYSpqopWlZxH9X45i/Smrz9epP6FnxvTp0+nhw4f88fpujsnLy6Nvv/2W9u/fLzquiaOrOjGbL5FIcOfOHUybNg03b95ETk4OgOeTN+PHj0dERAQWLVqERo0awdLSkp955X4fOXKE39NGHRg8eDCio6NRVlYmChhBRCgtLUVwcDA/8QSIJ5w4zbSoqAjnz5/HihUrkJKSUm+0nzdBmdcGCbQpeg0tUnjNzZs3YWRkBHNzc9FKKao7g8MqIZfLYWZmhq+++grp6enYtm1bhTQa1W5rT46rliNHjpCJiQkBIEtLS1q3bh09efJElCYpKYkKCwtFtpucnByaO3euyD+ztnpDoaaybds2vrcWlik5OZns7OzI0NCQTp06RUT/2eXKy8vp2rVrtGLFCvL29iYtLS0CINK6Namnrw2Ki4uptLSUiP6rV0XNtCrapDDt5s2bK4w4NE37UhWKvqjl5eX0xx9/kL+/P7+vlqbVS52JGtWiRQt0794dd+7cwfXr1xESEoLo6GjY2NjA1tYWUqkUFhYW0NHREblPHT16FI0aNULnzp1feV11dSEsl7GxMUJDQ/H222+LIrebmJjgyZMncHJywtChQ2FoaMiXOTAwEKNGjUJQUBAKCwvRvn17lJaW4sqVK/Dx8eGj+DAqZ926dZg4cSLs7e3Rpk0bvm4LCwshlUqhpaX1ynVICvbSAwcOoFevXmjcuLHGRkZSJcI6kEql6NSpE1JSUhAaGgpXV1fo6enVcgmrSC0Lc5VQVlZGBQUFJJPJ6OnTp/Tnn3+Si4sLASBDQ0MaM2YMJScnV7iuqKiI5syZQ3l5eURUu1oph/D+P/30Ez/byWnTirO/MTExFB4eTkTPPRLs7OwIAC1atIhkMhn99ttvBIBGjBjBr/xiKKe4uJj69etHhoaGdOHCBSIiunTpEo0dO5Z8fHxo0KBBtGHDhgojnhfBvausrCyaP38+v0unUDOr7TZXWyjapzkOHz5MX3/9NT148FHcWKYAACAASURBVKC2ivZaaJwwVRxmXbp0ifz8/MjIyIhfBkr0fDJq0aJFZGlpSc2bNxf5j3IvLjg4mP744w9RvrUtUIX3T0hIoMWLFxORcl+83Nxc8vT0JCcnJ0pLSyMioszMTBo2bBhZWVnRhQsXqLCwkHr06EEAaNeuXTX7MGqOYn0mJiaShYUF+fj4UFFREcXGxpKtrS3vjsb9jB07lh4/fkxEyk0Byu5x7tw5WrJkSfU+UB0iMjKS5s6dK/K5VneziMZNQAlXDN28eRPjxo3D8ePHYWdnxy/RKy4uRn5+Pn744QeEhIRg8+bNotVBEokEZWVlOH/+vFpNPJHCRES7du2gq6uLq1evioKycOlu3bqFhIQENGrUiB8S2djYYMKECcjOzkZISAiMjIwwY8YM9OjRA1ZWVjX+TOoKCdzJuDYVHx+PvLw8eHh4wNDQEDt37sTDhw+xfPlyHD9+HL/99hvat2+PwMBA7NmzB8DLh+jcu4qLi9PoqPo1ATfJR0To3r07Ro8ejV9++QXXr18XpVP8TtQFjROmwnXPGzduRFpaGv755x9cvnwZb731FuRyOQICAvD+++/j2rVr6Ny5M/r06VMhgnd8fDy0tbXRtm3bCrat2raZAv9t6+Dh4YHIyEgAFaMQaWlpQUtLC2+//TaaNm3KH09NTQXwPDoRAPTv3x/BwcHo0aOH2jbEmoarB66e5XI5IiIiQERISkrC2bNnkZqaCg8PD8yaNQu+vr6YPHkydu7ciSZNmiA6OlqUX2VthvM//ffff5kwfQVI4Lni6uqK6dOnY9u2bbh48aLa25Y1TpgCzxtufn4+QkND0bFjR/j5+Yl2hMzOzkZCQgIfcFlZIIUDBw5gyJAh/DVcvuogbLgyyGQy9OzZE+np6Xjw4AH/YXKNyt7eHi4uLti7dy+OHj2K+Ph4LFmyBF999RV0dXXh7e0NANDR0YG+vn6dDKrxuih2rkSEzp07o23btggKCkK/fv0QGhoKHR0dUSdmaWkJIyMjvr29aMKSq+ukpCSYmZnB3Nyc1f8LEAYV4kYMtra2mDNnDg4fPozw8HC1jsCvccJU2PilUinS0tKQnp7On9PS0sKHH37Iz3oLr+FITEyEnp4eH5xCmKc6CVSu4fTu3Rv79+8XnZPJZDAxMcE333yDwsJCvPvuu3B1dcXixYuRl5eH6dOn89GvhKhrQ6xphO+Ya0uff/45Tp8+jbVr16J58+YoKSnB/fv3UVRUBLlcjvDwcMyZMwe3b9/md2EQalKVERsbCycnJ7UWBOqCsnps3Lgx5s2bhzNnzuDAgQPqW4fVZItVGS8yOM+bN48AkJubG/3999+Um5tL+fn5NGvWLGrYsCGFhobyeQh/r1+/nk6cOFEzD6AC8vPzacGCBZSTk0NEFeskOjqahg8fTj179qT33nuP9uzZw/tKKj67cMKErYqq/NkfPHhAv//+O7+OPjU1laytrfkAM8KZ5pfNyC9fvpz3DmC8Oorts7i4mNasWUObNm0S+aKqy6SUWgtTxQ9fGByE6PnMtZ+fHwEgHR0d6tChA7m6uhIAGjVqFJWUlBCR+IPJzs6mefPmaZxj8LZt2+jgwYNEJPZoqMpSU+Ex4bWaUgfVzYvq4+LFizRgwAD68ccfKTs7m0/3Mgf+vLw8mjt3LuXn5xMR1fvlo1VFUVCWlZXRhg0byN/fn/++1cW9TK2H+cJdCoWTQ9yEgY2NDf7++2/88MMPaNmyJa5cuYJbt25h7NixWLFiBfT09Crsm3T48GF4enryG5mp7ZBBgX79+vFLTIGKk1VCuzAJhp3CeiOFIZTi//UdxbrifmQyGdzc3HD48GF89dVXaNq0qcgL4EXcuXMHenp6MDU1fWFAFEblCJfzamtrY+LEibC1tcXKlStRVFSkNnWq9lGjFIWCUGAIjdXZ2dnIyMiAkZER7O3tRYKUuzY3NxerVq3CvHnzNGqLXe5ZN2zYADs7O/Tr14//0LmGpKyehAKXW+fPdSLch614XX1HWT3K5XLIZDI8fPgQDRs2hKGhIQBxcO/K7KF//PEHmjVrhgEDBvBp1eXj1wSEnZriBOyJEydw/vx5TJ06FSYmJrVZTABqPgH15MkTfomnUNviEB6ztraGh4cHnJ2doaurKzrH/Y6JiUGLFi34sGlq3o8AgEgD6tGjB86cOQOZTCbaGFDZc3ANLisrC6tXr8bHH3+MUaNGYevWrSgpKakQ5Z/xHGXBR7S0tJCYmAhPT0/Mnj1bqTZUWVu6du0a3NzcRPkzqo6iIAUAX19fNG7cGBMnTsSjR49qq2g8arNtiVDwSaVSFBYWYsKECdDW1sbcuXPh4uLCVyQnYDmUxScVambcMCEiIgILFiwAAJFWps4I99JxdHSEnp4eEhIS4OrqKoplyiH8Pzg4GHPmzBE5Pe/btw8JCQlYvnw59PX1+WvqK4r1xx1TPPfw4UM8ffoUjx494usNELtYCTt+qVSKW7duwdTUFI0aNRKlZVSOsM4V2zf3+969e4iKikJ0dDR0dHQwfvx4NGjQQGlewuuUKWPC9/emozS1EaaKZGdnIzIyEtnZ2Th+/DimTJmCyZMnw9LSUqQVvKhxyuVyPsxeeHg42rRpA0tLy5dep24IG9SAAQNw9OhRXpgqdircBx0XF4cpU6YgLS0N3t7emDBhAmxsbBAYGIiAgAD06tUL7777Ln9dfUP44WRmZuLPP/9ETk4ORo4cCU9PTwDP/Xw5O1337t1x8uRJSKVSPvAMR2V26Rs3bsDKykrkA82oHEWbv1CRKCkpQWJiIo4cOYKsrCy0a9cOn3/+OZydnSvNj/seFI8p/i1Mp6iIVfUB1ALF2WaZTEaTJk0SrYl2dHSkrVu3Un5+PgUEBND+/ft5F6DK8uRC0y1ZsoT+/fffCufUHcVQZTKZjL799ls+1oAyjwciotmzZxMAmjBhAj+TTPQ84Ia9vT19/PHH9Xo2n3vmmzdvUocOHfg2ZmdnRxcvXqSoqCgaOnQovfvuu7R582bRtjcv86Dg+PnnnykiIoI/Xh/ruSoIPXU47t27R4GBgTR9+nSaPn06hYSEiN6Fsms4FL8doudbAOXm5tLNmzfp/PnzFB4eTsnJybx3z5t4W6iVZirsHaRSKT7++GPs37+fXyu9f/9+TJo0Cf7+/rhx4wbee+89DBo0SGleJNA8EhMTAaBCL6YJGplw2MhNGnl7eyM8PByOjo78cWE6mUyG7OxsGBsbY9q0aTA1NYVMJoOWlhaysrKQl5eH/Px8PHv2jF8ZpQl1oUq45926dSsSEhIwadIkmJqaYuPGjZg1axbS0tKQlZUFIsLRo0eRmJiIH3/8kbfHv6i+iAjFxcVIT0/HJ598wt9P2L4ZFeG00KdPn+LatWsICwtDZmYm3Nzc8MUXX8DBwYFPq6hxVuYpwY1Of//9d+zcuZPfspv7efbsGZo0aYLRo0fju+++g6Gh4Wt/D2olTBWN/+7u7vDz88O///6L4OBgjBw5EsuXL8eFCxcAPFf909PT0bp1a6V5cfkcOnQIAwYMAKCZQy3FhuLp6YmwsDA8fPgQFhYWFWymWlpaaNOmDcrKypCeng5nZ2fe3CGXy6GnpwcPDw/e9ldfP+7CwkIcP34cHTt2xJo1a2BoaAipVIrly5fzE3ZJSUlYt24dfv/9d3zwwQfw9PR86fJRiUSCtLQ06Ovrw9TUtMJqq/pa3y/j3r17OHLkCK5evQp9fX34+flh7ty5fBAfrh4Vv4fK6pRbEQk8NxuePXsWJiYmaNeuHdq2bQtTU1M8ffoUwcHBWLNmDd566y2MHTv29d/Pa+u0KqayIVBkZCQ1aNCAfv75ZyIiCggIIKlUSgYGBgSAnJ2dKTExkYhINBTm8rtx4wZ9++23Gh3LU1g33N9///03bd26lT+u6MR/7do1atWqFTVv3pwmTZpEO3fu5NOeP3+eX02Vn59fwem5vgxJHz16RO7u7tSqVSveBLR161Zyc3Oj27dv8+k2b95MAGjjxo0vzE9Yb5s2bRItsqhPVLZYRPib48mTJ3TmzBlaunQpjR8/nrZu3Uo3b94U7birLH9leb2IgIAAAkAjR46k/Px8flhfXl5OU6ZMIQA0ZsyYF973ZaiNa1RlvYGHhwfeeecdbNiwARcvXsSmTZtgY2ODXbt2YeLEiXB3d4etra0oD6HP3+nTp9G5c2d+EkATUWY07927N65duyaKP0CCAClOTk7w9/dHaWkpNmzYgPXr1yM/Px/Ac43f0NAQq1atwujRo3H79u0KkyekgRp8VSAimJiYYNCgQUhJScH69esBAGPGjMGePXtEUbg431wjI6OX5sm9n+TkZLi4uACof5o/97wymQxARe8IIsK9e/fwxx9/YO7cuQgJCYG7uzsCAgLw6aefok2bNtDS0qq0DVYluhuXh5mZGQAgPz8fDRo04N+plpYWPykt3IXjdVCrYb4icrkcurq6GD9+PD766COMGDECmZmZWLJkCd5//30MHDgQpaWlMDAwELmncEOAvLw8JCUlYezYsbX8JKrHzMwMjo6OOHXqFD8rz8HVw4ABA3Du3DmcP38eBgYGfASkgwcPYtWqVYiJiYGpqSnS0tL4oC9Eb+YeomlMnToVeXl56N69O4Dndjsu9m1qaiqCgoLg7++PVq1aiYKbVDasBICMjAzo6uqiSZMmNfQU6gMJZuK5ITZXLyUlJTh79iyioqKQnZ0NDw8PLFy4kN9Oh7uWy0cVixu4ezdu3Bh6enrIyMhAREQEysrKUFhYiMTERGzcuBENGzbEsGHD3uyer63T1gCcGl9UVERDhgwhAPT222/T/fv3iUg886ZsSLF9+3alm9LVFdLS0vjtSYjEs5fK1ivHx8fT0KFDSVdXlwCQqakptWrViiZOnEipqamiPOpaXSkifL7y8nIqKyur8OzLly8nAGRiYkJ//vknn/5lM76nTp2in376qXoKrgEI2155eTmlp6fTpk2baOLEifT9999TREQEFRcXi65RbHOqan9cPhcuXCBLS0sCQFKpVOQl5O7uTkePHn3jnTbUWjMFnvdQhoaGWLZsGRo2bIj33nsPjRo1qtRZnfv9+PFjJCYmYubMmQCeDzk41b6uYGdnBzMzM0RHR8Pb21vkm0cCDSE7OxurV6/G5s2bUVBQACsrK0ydOhUfffQRHj16hM8++wzjxo3D7t27+c3e6gNcHQkn54RtytHREbNnz8bQoUPh4eFRYVmjsvwkEgkSEhLQoUOHGnkGdUQqleLZs2c4deoUoqKi8OjRI3Ts2BHff/89GjdurNQpX1EzVYUTvZAGDRrAwMAABgYG+PDDD2FpaYmIiAhcvXoVbdq0gaura4UYt1XmtUV+DcL1FJz2oOy8Yq9y/PhxCggI4M/XNU1LONHE7RPF+dQSibWDlJQUatu2LRkaGtLEiRPpxo0borxWrlxJAOivv/7ir62vvGhy42XtiKvzKVOmiHx7NRFlk0jccWXpiJ5roUlJSbR582aaNGkSLVu2jGJiYipoobVBRkYGOTg4UNOmTfnNNa9du0bt27cnAPTOO++IQly+DhqhqnE9RWWapeJKBolEgpCQEHz55ZcAVGd/USe4ntvJyQlEhOvXr6Ndu3ZK/RlbtmyJtWvXwtjYGF5eXqIJgv379+OPP/4AAFEkLaqnLjwvmtx4WX1IpVJcv34d5ubmvEuUJtahsnKTQgwIYT0VFRXh7NmzOHbsGB9ha8mSJfwy2tqEexZDQ0MYGhoiMzMT2dnZsLe3h5OTE9avX49Ro0YhNDQUCxcuREBAAAwMDF7rXhohTF8GKRitIyMj0axZM1hbWwOoe5MpwueVSCTw9fXF0aNHeWEq/Bi4vzk/W46YmBisXbsWhw4dQmlpKbS1tREZGYl27drB2dlZYwVBbXPhwgWNn8WvLNaD0EuG68CjoqIQHx8Pa2trjBo1Ck5OTiK/0NpWZLjy6ujooGHDhigpKcHDhw/58nl7e+Onn37CxIkTsWXLFjg4OGDu3Lmvda86I0yFdsKoqCh+ZZSwN60rKArMbt26ISQkBJmZmWjevHmFaFnc6ie5XI6MjAysX78e27ZtQ15eHpo1a4Zx48bBxcUFO3fuRN++fbFv3z5069at1p5Pk0lJScGHH35Y28VQCYqCFAAePXqECxcuICwsDDo6OnBzc8M333wjciUjFdo63wShMDcwMIChoSHkcjkeP34sSjdy5EhkZ2fj1KlTKCgowIMHD15Lq1b7eKavCvfik5KSsHPnTixduhTAf6sl6mJgXmGjDQ0NRVpaGiZNmlTBiM8N/YkIM2bMwK+//gpTU1N89tlnmDp1Klq2bAnguSDw9vaGl5cXdu7cWSGgB+PF5OTkYO3atVi0aBGMjY3rlHafkJCA48ePIyUlBdbW1hg4cCAcHBz4NvIiMaIOdSCTyRAaGoqcnBx4eXmhbdu2vJIh/EaEy7KrSp3RTLkXdvToUbzzzjv8uao4+GoawhlPDw8PnD59Gnl5eTA3N1caBYfbNC4vLw+TJk2Ct7e3yAdw//79uHv3LjIzM1FWVsaEaRXJzMyEkZERjI2NAahnmxMKPeGITtns+cOHD3HhwgWcOHEC2tra8PT0xOjRo9G4cWNRHprwjWlpaVUwdSnGSFUWM7Uq1Alhyj18eno6cnNz0blz5wrn1PlFvwncc5mamsLe3h6RkZEYPHhwpenc3Nywa9cu/jgRITw8HGvWrEFYWBi0tLQwcuRIPpo8QznK7IEXLlxAly5dRGnUsd0pjly4cnJlvXbtGg4fPozs7GzY2Nhg3LhxvD2eu557dk3+vlRd5johTLkh/KlTp9ClSxfeAF7fGDRoEJYvX44BAwaIdhvgGo3Qj5KIcOvWLaxevRq7du1CUVERHBwcsGDBAowYMUJtBYG6IBQ+HDdu3MCQIUMAqKcgVZyNFwrCnJwcnD9/HmfOnIFcLkefPn3QsWNHUfxfxYlPhpg6IUylUimePHmCuLg4/PDDDwDq5wu3sLCAvb09IiIi0LdvX5HmpKhFxcXFYfjw4bh58ybMzc0xa9YsjB8/Hra2thWEMKNyuHq6desWjI2NeROLurqXCQVoeXk5kpKScPjwYWRlZcHe3h5jx46Fk5OTqNyKrnaKniKM59QJYQo833W0U6dOaNCgQb1+yT4+Pti9ezd8fX35lT0cwuFd8+bN4eDggLfeegvff/892rdvXyEN4+Vw9RQXFwd7e3toa2urrQcJV9bc3FyEh4fj8uXLkMlk8PPzw+TJk/lN6bjOVFETFXYQ6vqMtYlGClPF4UpRURHi4+MxY8YM/lh9RC6Xo127djAwMEBcXBw6depU6QSBpaUltm3bBiMjI1GA6Ppad1VBUZBIJBKkp6fDw8OjwvHqurdQO1RE2WRSSUkJrl+/jmPHjuHOnTtwcXHBp59+CgcHhxf6lVaW96vev7J86iIaJ0w5+6hwKHr+/Hk0bdpU5OtWH+GG8f3798ehQ4fQqVMnAP/ZSrnhGpeOs4cB9afBqwLhxI1UKkVBQQHS09MxYcIE/rziOn9V3x9QvvEfF1me+//BgwcICwtDXFwcdHV10atXL8ycObPSeYVXKbPiMF8Y9Z6rG+Hz15e2pXHCVNlqjNOnT2PUqFF8mrroU1oVnJyccOjQIdy4cQOOjo6ic/WlYdcEXBtLSUmBmZkZGjZsWO2rfpQNsYXfhJaWFoqLi/Hvv//i9OnTSEtLQ5cuXTB58mR+RwrhEP5N24PQvUp4THG1VH1odxonTBVdOWJjY6Gjo4O2bdsye9//o6Ojg65du/L7RAF1Mz5BbcJ12BKJBDExMXB3d+fPVXf7q2wYff/+fYSFhSE2NhZmZmbw8vLC9OnTKwRGV6XNU5lJgdNWhXVUH9A4YQqIBUNISAj69+8vOldfXp4iwg/Ez88PYWFhvBO/cOhVX+tHlQiFRHJycoUA3dWFouB69uwZzp8/j3PnziEzMxPu7u6YM2cOrK2t+W9E+N6FQ/I37Vy5/KRSKR4+fIiDBw/iypUr6NKlC4YPH87b4uvLN6lxwlQoDFJSUvD06VO4ubnx5xWHHPUFRUdsqVSKnj17Yv/+/Rg/fjybga0mUlNTYWRkxNuf37Selc2WCyd9OAF29+5dhIeH4+LFi7CyskK3bt0wbdo00WIL4co3DqGrnDCdMH1lzvxC5HI5CgoKoK2tDYlEgi+++AJ79+7l7/HkyRNMmTKFt+HWBzROmAoJDg5Gjx49KiwDqw+9oCLKZlfffvttrFq1itdOmUBVPcnJyTA3N+d3egVer/0J7fyVCdTS0lKcOXMGZ86cQX5+PlxdXbFo0SI0atRIqRb6onIoay/CiV1hGRRNRI8ePcKqVauwc+dOmJubw8nJCZmZmThx4gTi4uIwb948bNmyBUOHDhUtPa3raKQwlUieR4+/c+cOPv/889oujloh/EgsLS3RunVrnDt3DgMGDGCCtBpISkriQ+69CYrCUzhTnpaWhujoaFy8eBE2Njbo06cP3NzceAEuk8lUbsJRVEyKi4tx9OhR3Lt3D5mZmdi2bRsaNGiA+Ph4XL16Fb/99ht69+6Nrl274tChQ4iJiUFMTAwfva0+oHHClGtkJ0+eRJcuXUQaAaPiTOp7772HNWvWoE+fPtDR0WECVUUQEWQyGZKSkvDJJ5+oJE+hICwuLkZMTAyOHz+O8vJyODs74+uvvxaFhlPUGl/HJUvZNcpWb+Xm5mLx4sVITk6Gm5sbTpw4ATs7O4wcORIhISEoLCwE8HwH13fffRdRUVEICgrCgAED6s0wX+Omdzl7THx8PL+jJOM/FB2wmzRpgubNm+PMmTO1WKq6h1QqxY0bN2BmZsZHiXoTOAGWnJyMrVu3YsGCBTh//jyGDx+O77//HmPGjIGFhUWF1UmKyz6rqpkqasNlZWU4duwYJkyYAD8/P8ybNw+pqalo3rw5+vTpg/Lycjg6OqJ9+/YwMTHBmDFjAABRUVF49uwZAKBfv36wtLREeHg4MjIy3rRqNAdSY7i9nbi/OY4cOUIbNmyocJwhhqubK1eu0NKlS/n9oRiqYfPmzXTgwAEienE7VNxLSTFtQUEBRURE0IIFC+irr76iPXv20L179154b2X7dFV2j7i4ONq4cSM9efLkhdc8efKEZsyYQdra2qSjo0N6enoEgN577z0qLCykiIgI0tXVJQ8PD8rNzSUioszMTHJ0dCQjIyO6dOkSERGVlpbyuwlv2rTphc9Rl1D7YT4X2JnrcWUyGU6cOPHaWwvUJzhtx83NDXv27MHNmzcrOPEzXp+UlBS8/fbbACqGswMq7phLCiaY5ORknDhxAqmpqbC0tMTIkSPh6Oj4SnFklbk1KdNK7927h48++gipqalwdnZGt27dKrWvHj16FP7+/vjwww8REBAAmUyGQ4cOwdfXF0ZGRnBzc0PXrl1x9uxZXL58GX5+frCxsUHfvn3h7++PY8eOoVOnTtDR0cGAAQNw+/btCj6udRm1H+aTgu3m3LlzsLW1hbW1NWQyWS2WTLMYMmQIDhw4UNvFqDNkZWVBLpfD1taWP6YoLLm/OZ9UqVTKBxlZuHAhAgMDYWdnhzlz5mD+/PlwcXF5pcj1VSEpKQkZGRkoKirC8ePHAaCC1wBX3qioKADA6NGjYWVlhWbNmmHKlClwcHAA8Dxmrq+vL2QyGY4ePcqXkbPHBwUF8fsrDRkyBCdOnODNAPUBtdZMlblvRERE8DOEnNZaXwzcrwPncuPs7IygoCDcunULbdq0qe1iaTzp6elo2LAhjIyMKrgSAeKFJfT/ttDQ0FBkZWWhUaNG+Pjjj9GuXTtRnlSJLfRNuHLlCgoKCgAAYWFhmDp1KiwsLPh7KCorwPOOgkMul+P69euIj49Ht27d8P777+OXX35BcHAwZs6ciRYtWsDd3R0LFy6Eg4MDv+bfyMiIv76+rLxTa2Gq2HNeu3YNRARXV1elDsmMinD1o6enh86dOyMqKooJUxVw+fJlUVR9xdlwiUSC+/fv4/Lly4iOjkZ5eTl69eqFjz76iBdmygSvqnylOb/UqKgodO7cGVpaWrh8+TIuXryId955RxSQhNOcnZ2dAQChoaH47LPP+A3oVq9ejd27d+PIkSPo0aMH3NzccOXKFaSmpqJFixYwNzfH4sWLRcFWlNVLXUethSkgHuYfOXIEffr0AVC/HfSrgrD+/Pz8sGjRIhQUFNS5Dd9qmuvXr2PkyJH8/0Kb/u3bt3Hw4EHk5ubC1tYWI0aMqBBwWTjaUmzLqhri379/H1evXsXo0aNhZ2eHcePG4ciRI6I90oTKiJ+fH9q0aYOQkBCsXbsWU6ZMwdmzZxEaGopmzZqhdevW0NbWxooVKyCTyeDq6sqXW/hs9VXBUXthypGWlobHjx+jQ4cOtV0UjULYyPX19eHh4YF//vkHY8eOfeXVMvUdbmdXToO7fv06LCwsYG5uDuB5Hefl5eHUqVO4evUqysrK0KdPH3To0AHGxsYVtEDumspQ1btISEhAVlYWunTpgvbt26NJkyY4duwYoqOjYWJiAmdnZ9HkbqtWrfDdd99h6tSp+Oabb7B8+XIUFxfDzMwMq1ev5nex5UI7qrq8mo7aC1NOewoPD0fHjh3r7f5Or4viLLOnpyd++eUXkXbKNNTK4bREoX3+8uXLvFaWmJiIY8eOISMjAy4uLhgxYgTatm3L2/G5+uWEcU3WdWxsLJo2bYr27dvD2NgYnTp1QnBwMAYOHAhnZ2ccPnwYJiYmIkE/atQoNG/eHFu3bkV2djbc3d0xbNgwODs7v3CJKUMDhKlUKsWjR49w/fp1/PTTT7VdHI1E+PFaW1ujefPmuHTpEnr16sUE6UsQTipxe6wnJiZCLpcjISEB5eXl8PHxwaRJkyqsxlMcytdkXT979gwXLlyAlpYW1q1bh7CwMCQmJvLP0aNHXjbHtAAAC5FJREFUD5E3jDBAUPfu3ZUuiFFmmmD8h9oLUwA4dOgQ7OzskJeXh9LS0toujsbBaRFyuRza2tro1KkT/ve//8HLywva2hrRBGoVYQCQ4uJiPHv2DM7OzvDy8kLLli15ISv8UTSdKPqaVjfFxcXIzc3F7du34e/vDzs7O3z00UeIjIwEAIwdO5YPzQj8N2mkrOwcwpB7bERTEZV/Sa/i2vGqL4FLY2hoiLi4OPz6669sbflroKy+jYyMIJPJoKurW61bbKg7ypzslZ3njhsYGGDlypWiIa6ioFQ8B9R8aEhTU1O8++67sLKywuDBg9G3b19YWlpi9uzZ+Pnnn3H8+HG0bt26wtp8YTkrE6hMiCpHQtXwhmUymaiBKtpWFP3xAOUzgMJes7i4mL1EFSGXy6Grq8vbn+uj/UsoMBT9RBUFnya2OSJCSUkJtLW1RSuqLl68iLt376J79+4wMzOrxRLWPVQuTBUbKdfzcccUQ41x11T2MTNjd/Wg+G7qW/0qtkFlHbwmu98pxkcV8iJNnPH6qPwLUtajS6VS0TYPlfnbKctL+OLZEF81CDX++txRKbZH4fJPrr1qsrAR2kE5lDnWM1SDym2mUqkUO3bsQEBAgKi3l0gkMDc3R9++fTF69Gg0atSogiagDNZ7qh5FE0x9rGNhu3z48CFCQkIQFhbGR87v3bs3Bg4cyK9L1zSEk0TCvxnVCFUDy5YtIwCV/rz//vuUn59PROIQYIyahdU90dWrV6lbt25K26m1tTXt3r2bT6sYSk/T0OSyawLVMr7j3G2mTp2KO3fuIDU1FRkZGQgLC4OdnR1CQ0Nx8eJFoUCvjmIwXoKmD2PflAcPHmDmzJk4e/Ys/Pz8cPLkSWRkZCA+Ph6ffPIJ7t69ixkzZiA6OhqAeJtxTaS+v+/qplqcDDnh2LhxYzRr1ow/3qRJE7Rs2VIUlQbQTAM/Q/MJCwtDREQEHB0dsWHDBrRq1QoA0Lx5c6xbtw4PHz7E4cOHsXv3bnh6egKofxN1jFenWj22L126hB07dkAmk0FbWxv//vsvLl68iGHDhsHd3R3A6+1bw2CogpiYGADP43FygpTTPk1MTPDBBx/g8OHDuHz5Mh4/fswvvQSYAsCoSLVqpkFBQQgKChKds7Ozw2effcY3TDb0YNQWjx8/BoAKgpRrj5aWlgCA7OxsFBcX822WaacMZVSLMOUao5eXF3r37s37vGVlZWHv3r0YM2YM/vrrL/To0UNtbFBPnz7FsWPHcP36dbRu3RrvvPMOv1GaYoBb4ZI6oT+tTCYTBbgAKrqBKVtBUtO+nsJycGUkIiQkJOD06dPIy8tD8+bN0atXL9ja2tZJbUz4DsrLywFUtCly78Xc3Jxfd19fvR8YL6dahamvry8WL14sOmdubo6VK1di165d8PHxqY7bV5n79+/jiy++wD///MN/QH379sXGjRthZ2cHQLyqCxD7anIfmOIyQkWnaaFLkjAor7IQbdWJoiC9f/8+li5dir/++gv5+fl8OltbW8yePRuTJ0/ml53WFa1MIpHAysoKAPDvv//yHWFeXh6ICBYWFrhz5w4AwM3NDaampgDqV+R4RtWollbBCSRlezRxUcYfPXr0Sn6mNcG2bduwf/9+9OnTBxs2bED//v0RFhaGTZs28WmULTjgBGFJSQlKSkr445wgffbsGZ4+fcoff/r0KcrLyyGVSnkNtri4GDKZTLSooSbgtKuSkhLMnj0b69evh42NDdasWYNNmzZh4sSJyM7Oxvz587Fnzx7+eesSXKCX0NBQfivsrVu3YtCgQVi/fj127NgBU1NTfh8jppEyXkS1aKZcz52QkID9+/fzvX5WVhZ+//13AEDnzp35SEZA7X2ocrkc7du3x3fffYfhw4fD0dERlpaWCA4OxrVr1/iyc5opJyiJCElJSQgICEBQUBCePXsGLy8vzJo1C15eXgCAmTNn4siRI/jxxx9x5swZHDx4EPb29li2bBns7e2xePFiBAUFoX379liyZAk8PDxq7Lm5+g4ODsaePXvg4OCAv//+m3dS/+yzz2BpaYnAwECkpaWhvLy8zkWY8vX1xejRoxEYGIjPPvsMEyZMgLa2Nu7du4dp06YBADw9PdG4cWMATCtlvITqcF5dunRppQ77UqmUBg4cSFlZWURU+47Ewv3H5XI5ZWRk0JgxYwgArVmzhj/OpeX+vnXrFnXq1IkAkIWFBTVq1IgAUJMmTSg6OpqIiD7++GMCQGZmZvwPAGrZsiW5u7uTpaUlmZqaEgDy9vbm9yKvboR1/sUXXxAAmj9/foU6efjwIaWnp/P/1yWHb+5Z7t+/T1OmTCETExNRO23QoAE1aNCAAFC7du0oLi6Ov64u1QNDdVSLquHt7Y3Zs2fz/3MaHbf3tp+fH7+ro7LAJzWJcOIoOzsbPXr0QEpKCsaPH4+JEyfy6UhhiLd9+3bExsbi008/xbp16yCRSDBjxgxcv36dnyXmtBgvLy9s3boVjx8/xoABA5CUlIROnTohLCwMmZmZ6N+/P86dO4eMjAzeDFKdkMAMwdkFHR0dReeICObm5vzWHLX5jqqTRo0aYf369Zg0aRJOnz6NlJQUmJqaokePHigtLUVAQAAKCwt5f2k2zGdURrUIUx8fn1eaXFKHqDzCoVtJSQlsbGxQXl6OkydPYvfu3fj8888rbNVQWlqKhIQEAMAHH3zAz/qvXbsWUqmU3w6EM2EMGzYMlpaWMDIygo2NDZKSkjB8+HCYmpqCiGBtbY27d+/WmMASdmDcTLay7bIVO5C6hOJzOTs787tzCvHw8EBRUREsLS3rpFcDQ3XUewOQMEp6y5YtERkZiZMnT0JLSwtff/01rl27BgCioL9lZWW89skJUvp/R2/ufyGcrVEmk6G8vBwSiQS6urr8da+yyZoq4YSklpYWGjZsCAC8hip03UpJScHhw4dx//79GimXOiCMtEREMDQ05IPy1FXtnKEa6r0wLSwsxIIFC9C/f3/Ex8cDeO4S1KJFC+Tl5SEnJweAeJirr6/PD3/v3r0L4D8Xo/T0dP6DVJxce1E815qEK4O2tjY6d+4MADh58iQKCwtF5f3nn38wePBgzJo1C8+ePavzGplQE+feFRemkMF4GfVemOrr6+PmzZsIDQ3Fli1bcO/ePQQHB+PChQuwtLTkfRGB/7QVLS0tfjnstm3bkJycjKysLCxatIjf/VOoySr7GIXHavpjFWpZ77//Pt566y2cPHkS3377LVJSUvDgwQPs2rULq1evhkQiQf/+/aGvr1/nhYrQaV/YEQqH90LzDYMhorpmtjSJmJgYatmypWg2V1dXl1atWkVE4tBr3ExuVtb/tXf3KqoDARSAzwSCpWApFhIsrOyCVloI+hBpBN/Ap7EUwUqYVhALC1sf41ZqKWnEs1VCmN24yzLXu3c9X5tknElxMibz84ej0YgAaIyhMYYAWKvVuN1uSZJJkhAAV6sVSfJ6vbLf7xMArbUkyfP5zDiOGQQBj8fj09pcbMt+v2ez2czbEgQBATAMQ85mM6Zpml/z27ltLN4nfcmXR37XwMFvIIlutwtrLebzOQ6HA1qtFqbTKcbjcX5OcRrh/X5HvV7HYrHAcrmEtRa32w29Xg+TyQRxHAMAGo0G2u12PnvGGIMoinA6nVCtVgEAYRgiiiKkaZrvyfQMxb/sg8EAu90O6/Uam80Gl8sFnU4HSZJgOByiUqm8zGI0bhvdSRoiZf7Khnr/E37yxdq9PV/ZP4fku3PJ99NN3TJ/qqz+WpRGpNzL90yBx+803Z6Ju1GZGy7ZddmxYhB9NNsrG+dafMf6L3xU76x+nz1wREQ9UwCPV3gqO/6oLLec4qImZb/11fKfoSw8Faoi5RSmIiIevPzQKBERHxSmIiIeKExFRDxQmIqIeKAwFRHxQGEqIuKBwlRExAOFqYiIBwpTEREP3gDbhUOhuSeCPgAAAABJRU5ErkJggg==)
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,
and ![angle T](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAOCAYAAAA8E3wEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAKlJREFUeNpjYCAfuDHQEUwD4uVIfCYg/gXE//HgX1B1JIOZQPwOiM3xqFED4gvU8NlCIiwDgSAgXkqpZYuJtAwEGoG4hBLL1pBgGUy9HzkWgSJ5HYmWgcBdIJYk1TIWMi0D6ftCjmVbyLAMBCyBeD8pGtiAeBuZloFAJBDPJ1YxBxDvoMAyEJgExMnEKOQC4r0UWsYAjXcvYhTuJ1A0oePlOMx5Bw2pwQEAWkYzxcgAecIAAABadEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPiYjeDIyMjA7PC9tbz48bWk+VDwvbWk+PC9tYXRoPmR8cmsAAAAASUVORK5CYII=)
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)
The third side opposite to legs of an isosceles triangle is known as
The third side opposite to legs of an isosceles triangle is known as
If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,
We know that , perimeter of a triangle is the sum of all sides of a triangle.
If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,
We know that , perimeter of a triangle is the sum of all sides of a triangle.
Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.
![](data:image/png;base64,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)
Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
From the diagram given below, we can say that ΔABC and ΔPQR are ___________.
Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.
From the diagram given below, we can say that ΔABC and ΔPQR are ___________.
Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.