Maths-
General
Easy
Question
Hint:
Hint :- Applying pythagoras theorem to both triangles ABD and BDC. find the BD2 from both equations .Equate both the equations to get the required condition .
The correct answer is: Hence proved
Aim :- Prove that ![A C left parenthesis A D minus D C right parenthesis equals A B squared minus B C squared](data:image/png;base64,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)
Explanation(proof ) :-
Applying pythagoras theorem in ΔBCD ,We get
— Eq1
Applying pythagoras theorem in ΔABD ,We get
—Eq2
Substitute Eq1 in Eq2 ,
![B C squared equals A B squared minus A D squared plus C D squared not stretchy rightwards double arrow B C squared equals A B squared plus C D squared minus A D squared](data:image/png;base64,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)
![](data:image/png;base64,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)
![text By using end text a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis text and end text A C equals A D plus C D text we get, end text](data:image/png;base64,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)
![not stretchy rightwards double arrow B C squared equals A B squared plus left parenthesis A D plus C D right parenthesis left parenthesis C D minus A D right parenthesis](data:image/png;base64,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)
![B C squared equals A B squared plus left parenthesis A C right parenthesis left parenthesis C D minus A D right parenthesis](data:image/png;base64,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)
![negative A C left parenthesis C D minus A D right parenthesis equals A B squared minus B C squared](data:image/png;base64,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)
![therefore A C left parenthesis A D minus D C right parenthesis equals A B squared minus B C squared](data:image/png;base64,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)
Hence proved
Applying pythagoras theorem in ΔABD ,We get
Substitute Eq1 in Eq2 ,
Hence proved
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Maths-
Prove that △ CAB ≅△ CAD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMYAAADmCAYAAACON/prAAAgAElEQVR4nOydd5xU1fn/3+ecO7OdotKrVBWkS7EXLIhUe4mxJGqMJQIaE1N/+SYae6+xxYYgTRBQjF1URIoKIiJSRFBR+paZe87z++PcmV0IGERgd9n79nXdZXdmdube89xzzlM+jxIRISYmZjN0Zb+BmJiqSGwYMTFbITaMmJitEBtGTMxWiA0jJmYrxIYRE7MVYsOIidkKQWW/gWqJZP7nECU4DIgCEbSyKAlxolAmiaBQAgohEzBSSlXee4/ZLuIZY0eQ6CDEkcaKEFoQFCIWXClaLFYUpaFgnTcicMTR1OpBPGP8BDKD3CCICNqB1palS5Yzc+ZHuEQ+B/XpQ9PGDbCiNntePGdUbeIZYwcQBU5ARKNEo5xFi0W7kJJNG7nvvoe45NIrueLyK3nqiacpTYVYpbFK45SDeN6o8sSGsYP41ZQGp1DiUCoFKs38uXMZO24y3XsdRv169Xj6yX8zb/58HGAr+03HbDexYewgohWg0SpAAUpCbLqEiRMmUZp2XHzpJfz8nDNYtngh48aOpzhtcQJYiZdR1YDYMHYAUYIo5we4aL9hSMCnn33KuElT6X3YERx6eB9OOPYwWjdryIRx41iydAVagULFK6lqQGwYO0TGyxR9qwxlpSU8M2o0364tYdApJ7N37SLatGnOyYP7sfyLz3n++amkUw7l4vmiOhAbxg4hKKTcvaQNc+Z+yNjnJ7Hfgd3offAhgCNZmMPAQSfSollTxo4ew8JPF2OMJvZJVX1iw9gBnANnBZEQCCkr3sik56fy2cKlHNCxExvWrWf+ggUsmr+YnEQRHfZry8cz32Xi85MoDQUnDmtt9oipeqi4gu/HY0WwzqKxBDjmf/QRZ5x5Dqu+30T7jl0pyMsFW0wgIYGCdevX8/7sj2nboTsPPfIw3Q5sg02nUUqhlMIYU9kfKWYL4gDfDqCU8u5aJ2AUkydPYenS5fz6qqs57exz0EYRSNrHNnBs2riRv/6/G5k87VVenvYSXTq0RmtN5p4kInGaSBUjnjF2AOsEJ5ZAKz6d9xGnn3YaeflFPPTYExzQ8QAECChPAwGYNHEy555/ES1btWXMqKdo2aIZ6XSIMSaeMaog8YyxA3i3q0YpWP3d9/Ts3Yejju5Lu3ZtSYcOlANlAYcWh0Jx+OGH8sc//I65H37M2rVroUVzjDHxTFFFiWeMHUUAHOl0ijAMSSRz0CaBQ3BYlAtx1uKsJZlMYkxAOrSkU45kMkEQxPekqkxsGDtKNoe8/J+C+NQPG4IIBoW1IclEgFIGlCJ21VYPYnftTyFKPxch2kgLGocxAQs/W8zyFSvRJoFgIMqrIs4hrBbEhrEjZOoxVFSfpMpHusbw5fLlXP+P67nxnzezatW33gNV8bkxVZ54obsjZG78PlkKEQdOUEqzdt067r7jTsaOepaABPXr1OXKq6+gqG4txCmMGEy8nKryxDPGjhIZBTh0tLvQSjF16ov8+8mnCUNHmE7z6CMPM278eEJnCbE4ZLMZJqZqEhvGDuKTzqMTKI5AaxYu/Iy7776H1d+tIcgrABPw1dffcNc9DzDnw3kktEGJzeYfxlRdYsPYQZSAEoUShdaGb775lhtvvJmZsz6ke+9DqdeoKaIDOnY9iCXLVnHTTXeyYsXXBIGPf8RUbWLD2BHEp4OI9cmAqbIUTz75DKNGjaNV+wM5of8QatWqgxPoefDhHH70SUwa/zL33P0gmzZuACU450in0zjniD3mVY/YMHYAAawDJ4ISeOvN6dxz90OY3L3oP/Rn1Gu0L4jGoUjkFnHsiafRpsPBPPTwU4wZNwFrLWEYZr/G0e+qR2wYO4hDUIFmxcqV3Hrbnaz8bgP9hpxF6/17kbYJjDIoAesCCus0Zchpv6Regzbccus9zJo1O5sjVTGZMKbqEBvGDuAUiFHeNXvvvUz7z6sccujR9DnsOKwuBHJQUVDPiaEsHdCw6f4MOvVcvluzkRtvvJkvv1xOEATZ1POYqkVsGNuJOImi3OJVQVyKCRMm8MgjT9G81YEcfeKpJPLrkHIap3JAG8AiGJw2iFK0bt+Fo/ufziuvv8td9zzI2nXrAcG5EBHBiRBPHlWD2DC2gUTpgBky+4EwHaKVY+H8udx15904VcSJQ39BnYbtKZMEYhyhSUAQgEp7LSnjEJXCqQI6HTqQHoedxFMjJ/D8pCloDeJCnE1H6eyxZVQFYsP4n0R1FQrAoo2w+tvV3HHXAyz8fAXHDTiVdh27YyVAxO8rdBCgA4OvDVeIcv4QyMkr4ph+Q2jacj/uvvshZs3+GG0C752yIUgc5KgKxIaxDRTaS91kio2URQeK0rJSHnn8SZ4dM43uB/ej56HHokwBVvzjtSgCZdDalEvcViAdCoV1G3HCoHP4boPjz3+5gc8WLcUEGkij4uhflSA2jB/Eb4oFX7GHUrz51pvc98C/qNOgFcecdCqJgn1IiQYM2Xh4xhpksy/Z10yTQ8Pm+9G3/2m8O3M+9z/4GMXFpQTaoON0kSpBbBjbwDkfvHPOEdqQIEjy5VeruO32e1lf7Oh/8jnUrd+ctBisF9OJsm6FIAjISSZQKspJr4CgSLuAkBw6dj+UQ/oOZPSYKUya/DJaG7/PcC7792NXbuUQG8Y2UKJ81iyglGHtho3cdOudvPPeh5w06Cw6HNgDh8FlO1/4JZcSi1IKraNTqzYvTfJCCooyKzidy5HHDqJl+678v7/dyhtvz8QESYDNhBJidj+xYWwTAXGRcSgmvfAijz/2LE2btKVTp55oFAZHoB2BEdChr/NWglYKpTSIyiqKlL+qgHIoowmdIsirw7H9T2VDSvOXv/6TRYuWoJTCuYxRxjGOyiA2jIpI+SGAUhqtNUuXLuPJJ56h3j5NaNK8Pa9Me5PZH3zAd1+vwqZKUJJGK0FrUEowRmECr/whkllO+cMro1sUDq0TWNHUa9CMIaeczYKFy7j9znvZtGmTN47YQ1Vp1OBCpczOWG3+o8zt3TmUElKh4/5/Pconny3jlLMvpVnzTsyf9xlffLGATz79hLp770PTps2oV78BtWvVJpFMoHXSS3FqCEiToyxlugxUmgQBiEUpjRCiRdCEdOjYmZVHHsfIkaPZv00LfvHLCzGJBM4JSiu/X0Gys1DMrqXmGsYWS3dxkehZxl5sSMqmGT1hIiOfm0TPI06i5QHdQNWlS+9GdOq6P8uWfs6SpUtZ8vlnLF60kMAkKCzIp1ZhPt+t/g5MwNcrl7J80UJcjiIZBOh0HkIIYilLlVG6cSOlJRvZsH4dm0qEgtoNuPue+9m/QweOOOIIFD4AiFb+TYuODWM3UHMN47/KS6X8xwpMMsE7r73LDTfcSdMWHehz+AkolYcVAQkxiRxatz+AfdvuT3FxMevXr2fDhvWUFpcSlhbTsGEzFibzWbXqW+ycj9hki1FO0GEuSlkEhwkMiURAYAxFhUW069SNAzrtz/iRD3LnPQ/Rat/WtNy3KTjnU0tUrEO1u6jBhlERh9Iu2lcoUIoVX63i1jvuJ3T5nHjS2eTn1SPlDEoJVtI4pXECWhty8hPUy69Fg8YKEchV0KRBPu9Pf5mOHbty4EHHs7ZsHc46ApsHxm/Uk4kkiZxctEmQCAKsAk2a44aWMf7JB3n44Uf50x9HkEj67q+hUwSxAs9uoWYbRoUukYLDiUNQFBeXce+Dj/DRvC849ZxfUa9BG9I2x6uCSAqlARVgRUXuWu+5stFeOS2Cc94rlZPIpahWHbA5KIQgzEOpNE6HgCIUhUNTJj5AKCqgdaeDOeSYlYwa/Tyd9m/N0FOHopImO5vF7HpirxRAZBSptCUdCiNHjuWRx0Zz8NEn0apdF0K89wiUL0vVXkFKlPZSCMqUHxj/u0hbx1nJJgeKKMQprIBzmlD8a4jSED3fugDRhfQ4tC/1mrfj7zfeybvvzUKhUFGGb8yuJzYM8DMBCpPI4f2ZH3LPPY/QvFUXeh9+AiqZT8qFiHY45bID3qeAREJq2a+ZQ2UPl4mKR19FKVzGGDZ7DYcSh0bhLBTWqk/fAaez0eVy0x0PsmLlNwRGoeKA326hZhtGNqdJo3WC779fzw3/vJ1Qchgw5CxMsjal1qGTYHUZotKgBCUmm/7xX0dGrFO5jGJC9vC9+8BisASARgkY5zDOEjhLjrIE4rCi2btxa/qd8nPemzWfe+9/AJsuQ+vYMHYHNdswABBQsKm4hOtvuIVZsxcwYNBZNGjQGidBlOjhOyd5BXNQojebHzY/KkQJiYwjE9wjCvip8kdmZT0RDBbt0iSUYB2kdA6tOx3EIX1P5OGH/80zTz6zzQ5MW8vkjdlxaqxhZJIDwVJSVsKTI59h9NhJHNH3ZFq06UOZJHFaYUyAsxqjEmgJUBi/klJu6weCEp8wgo6KncSAJBDRKBW1BojSR7yqoRdOsGicAlToC6VEg8uh9yHH0qpNd+657wmmT58B+ATDMB1mrcFFpVWxcewcaqxhqKjwCKWY8cEs7rv/EfZt14k+R/RDJYtwKgqooQl0AiUGlTld/zM1fMsGlH7HrjI/U1LBwaRAK0Rrf+DzqbzX2Hu6CorqcdLJP2N9ScDNt93D6u++9/G+bGOajHstdlntLGqsYUhUfLTiq1Xccst9lKVyGTT0XHILa1HqSrESVtp7yw5xAacMZVaxV6OWHD/4NN6dMY/b73iADRs3onUIKgWZ1BKJTWNnUWMNQ2vFurVruOuu+5gz53OO738ORXWbUCbgjAPjKm2UZeYTiVzBoQoIdS4t9+vKEccM4t+Pj2bc+Emk02WAXw6qSOMqZudQYwxDRLwSR5TO7Zxj/PMv8NQzYzj0yP6069ibMpdDKCCm4gZ6B8ikXMmOvEbGKJT/L4p1pMSgc2pzyNED2LdtV+66+0FmfzgP0EhU2BSz86hRhpGpigN4f+Zs7r7vcVq1707Pw4/HmTycSnqP0U6486otvm73+8T7qfwOP9prRP6uUAyJ/L04btAZbCwLuOmWe1jx1df+d9ZinYvld3YSNcYwwBuHr69Ywj+uv4kym0/fE08hyK9FGnDae3VUpa7VNUJGWEHQ4tAifqmEEIpm70YtOKb/abz7/gLuvOsR1m0oRRuFKBulp8f8VGqMYSjli4c2btzAvffcw1tvv8/xJ53FPo1ak8bgDDjlB5+RCuGH3f9OyQgr+F2GRUuIEZ+qbrWmxBk6dD2YPof359HHRjF+4tRIoqfyHAZ7Gnu0YbhoX5GJSiuBsWMnMXrcZI7rfyrtOh6E1Tk+X0ky0QRf711Zc4ZUENBRAlqIMq/EJ46IBRXgyOWQI/vT5oCe3HXXA8yaNYeENljnIKNqmK1Fj8N/P5Y91jCcQNoKqXRImEqjlObDufP5503307RNL3r3PYV0kEtIgBJFAoURv+XN5jJVQu2DUoKK0klE+/eSOUQrTNQNMy0BQWE9jh14JhtLDP/46018u/I7QFGWTpOyZYQuxPk+ssRdMX8ce6xhKAUmGts6UCxetJgRI67D6Tz6nngyOQV746KyVqVUhbQ/KsUgKqK2/EdUI+JxKAWiNJaAhk1acfxJp/DWjA+55bZ7WL9uPYHRaAETLQ0l2/8pjnJsL3uuYSAoSRNoYc2addz/4GN8+Mnn9B96Nvs0akVZunpGijMScL75DKRE0b7TQRx94ik8O24KL0ycgrMOo9Vmcp+CiueLH8EeaxhZV6eCSZNfYuTYSRzV72TaduhOyuUQSrC5EEI1QVWQMRGlsRJggwIO7juQxq07cuvt9zLv408wOqgwE8ZG8WOpdoZRUYisYpsuEcFaW+FwIIp335vJTbfeTfO2B9LjsGNxJg/RyWgrWz2HS8acBRAdYFWSRMHeHN3vZDaWKv7813+yZMmXOBvFbpyN4hzV8/NWBtXKMJxzLFiwgJkzZ1JcXIzWOmscGVnLcmNRLP5iOX+/4VZS5HLUCUNIFO5NGoM47xCtjkhkFhqHFgVO4USTspoGTdpwwpCzeW/OAu5/6HE2bCxBrCBOohtFbBjbS7UyDBHhtddeY9iwYVx//fXMmjWLdDqd7UpUUc6yrCzFI48+xQcfLqL/0LOp36w1aUngREd1dVuva6jqVHS8+sJa0M4vl0IStO1yMIf0HcjI5yYy9cVXMMaX9QdaRxm5MdtDtRJD0FozZMgQ6tevz+TJk7nuuuvo0KEDgwYNonPnztSqVSub8jF69HM8M3IcR/YdQNv9u5JSOQgmilOEqKjbUXVDMlq4ksmoiuIVkaiC6EJ6H9GPVcs/4/obbqZVy6b06HkQ4lR19DVUGtVqxgCoX78+gwcP5vrrr+fyK65gU2kJw0eMYMTw4bzz1tuIc7w/YwZ/v/4GmrY5kJ6HHI+VHFxaoZzveuGdOrvjo1eo/xa1Ezb7FZ3KmQBeeZheoXDWkVdQm6NPGMqGMIf/u/42vlq+AqN9TbkVNju2XF1lusnW9KRE85e//OUvlf0mfixKKQoLC2nVti0HH3ooLVu0YM6sDxj17CjmzpnLyFHPsWZdMWecP5zCuk2BRLQeF8QK+DBZJIOz89+fEc2GNV8x893/cEDHnjRu0YG0OK9XK5kKwB177WzEJRPXyNqKF0owgHNQWLcehXX24j8vTkWFpfTp2YlEIoHFB3cyoovihHXr1rJo0UJAkZeXl/1bWcX2Gki1WkpVxG+0hcL8QgYOGMAxRx3Of15+lauG/44vFi+nXYcerPxqJTkFe5GTU4BWUXKeSvg1utawy/YZ2xr5O9kKt3g5hwadIHQWLZYDuvZm7bdf8sSz42jTthXnnnsmRhwoRSqV5svlK3j99dd48403Wb36W37zm99w5JFHYq3FmOq3zNyZVCvD2LL1r3MOZR2lYQl5BfmsLylmY8rSd9BZpMMko55+iiZNmnFY3+No3rINybwiUmEaTCJ6vcr6JLsIpbBOo7SfCq1oeh12FCuWLOBvN9xK2/ZtOWC/NsyfN5+x48YxY8YMnMCRRx7NeeefT6cDO0Yvo2r0bAHVzDC2xCiNE0fCJHjz7Xf42w0307ZDd04cei6JZF0+mzeLOTPfYcKYUTRq1oojjjmeJi1akwpDnGMX3hV3f9KeiEQ7mnRUyWdJBIpkYRGHHnkMD98zm2HDr6FD+9Z8+/UqGjSoz8/POZsj+x5L8xb7EhiNE8FZSxBU62GxU6h2Z8Bai9Y6G9VNJAMWLV7CLbfdh0nsxQmDziZZUI8wTNChczfatG/D54uXsmLFKrQJMnVxu362iMLusqtdQeKziJUCQ0ggviYjDMtYvWolixfN4/NPPySvoC4fffwZYuGGf/yVHt26UFiUD8ZLjaYdBFphjPkv13dNpFoZhohkl1LOeQMpKSnlgYceZ85Hixl69sXUb9Ke0jKDRZNWCXROLdp16EKb/UAwpK1Dab1HKPplynW11j7yH6awpWtZvmwJCxd8wudfLCIsLaNps8YMOflcvly2kNnvvcE3322gsKg2ECLORnsvv3TKnN+arqperQwjc7G8gWjSYRlPPvM0jz0xkiP7nUXrdr0oLUvgFDhtSREAAWKd33w7QYlCK4VB4faQajfrHIExzP9kHrOmv8zGjeupXasOnbv2onXb/ajXoCHJnFyatdmflV9/w/9dfwtNGtXn4D49EHFRNW8FheuY6mAYmcGrNhMz0Frz9rvvcPudt7N/p+706dMXdCGh1YgO0QGkrUZUgFEgzqGVINaidNTGq3om2GbJ3tWjmUMFAc1at6FFyxY0atSM3Lxa6CCPtDOUYEjWVhw36AyeeuA2brntLpo2/T9atGyBE4eL7WIzqrjrwfnuQ1gfiYr0xYwxLPtyCbffdR+hrsNJQ88hr1ZdHFEfPB0NFCVosVEnVYfWgjIK0f6VdxWC+KaWkhFEi4qE1M4tFsrsAzJLqfb7deCIYwfQun1X8mvVw2mvepKpZAxdDvs0aufzqWZ/xL0P/ouS0hIQierKKfcbbPY2M5WANYcqbhjC5tVn3l27cVMxt9x2B+/P+oTjB55Lrb2akHIVH++jwkY5AmXRyqKJOrBqweFQwa5LkSivK6pQBbELlm0V3ddKKZQOQOUQOkPodBTBBKOc78nhFNbl0K5Dd3ofeQKPPTWKZ0c9hyBotZWBv9lbrlnTSRU3jIxUvgJlUdpiRRg9ZiLPPD2Jg484iXb7dyUderVypbZsrlJBCrPiz/fga7xVb5KKaseVi4w2ySGHn8C+rTtz2+33M2v2HP8AlVleZhTaK7zAnnzStkIVN4xyxQy/FFG8+/5Mbrv9Qdp1PJyDDx2INkUIOThncJlBIZK9vjERyhuGtWnEBRQUNmTQqRdSkg646dY7WLHqK/8g7BaHVNeylZ9EFTcMwOFrCTAsXbGcv99wM6HLZeDJ55NX2JDQJXAEfm5QbOFbqSSljwpjqeqMKb9c0giiEqTCHPap34qTTj6H6e/N5qZb7qC0tBQQrA1xLjKK8qfXKKq8YaSt97Nv2FTMrbffx8zZn9B3wCkU7tWIMue9TmiN0gpRmQ1uhWS7SmBzUYUqsgQR/CZb4bs66QSbUtCqXVd6H9aPZ0a+wJgxE0mnfS15Tc+urfKGEWiDDYXRo59n7Jip9D3+ZNoc0JVQGaxRWOVbgDltN/f6RBKXMeUoyUopEOKQIIkERfQ5dAD7dziUO25/iJkz5hIEOWhds5MIq7hhCNooZn4wm7vu+hft9+vJ4Ued5H3zYnHKgragI5duZk28uRhOTEUEUBanHaES0s5QUNSEfv1+RmlpwC233Mvy5avQOlnZ77RSqTKGkXWfS4UCHBRLly7nxhtvpSyt6XvCYEyyMKpUc0jUSB4kWkaVO+CVqCqw+Vbb+L4yKNeW8v0BQ5wLUdoQuoB9GrSk7/FDeHfGR9x777/YuGkTmaBqTZx4K90wKsaTHELoQtJhChHLhg0buPPOh3jvg085ZsDpFDRqTjEBFo0RTcKCFu3TPDIHvj+eqlxlZjb3DWeqgipxFlPglMJpjcqcP6V8wqF2lGhh38696dN3AE+NHMPYseMIwzQ2tDgrNU5HodINI1udia9hlkgkLLSO8RMmMWb8FA4/fiDtOvUgVEmcCgCDyeq6emPISOVXDbZcylWRpV2m+I+okabK/EOwStB5BRx6TD/23a8Ld9/9L2bO/BCtNNaGSA3bjFf6SCqPJ1mv3iEOowNmvDeLO+58gBbtu3DI0SfiTC6hy6Rxly+1qj7V4T36XIGUcyRyizj+pNNZX5Lgn/+8i6++Wok26RqnpF7phuGJvEniCIIky5ev4o9/+jvrii1HDzgVySkiJQFKJ7JpDuUiADE7C2cUoQrYq35rjjvxbN6c/iG33XE3palitK6eckM7SuUbhlicS+FsGpywaVMJ9973Lz5esJQTBp7FXg32JRUmQCUQyeixlm/PqyIZJ8KOtRqrPJwITgVYlct+B/biqOOG8ty4yUyaPAUnjjCdzqqI7OmFTJVuGE6EMLSIgE1bxo55npGjnufYAWewf+dDsDbA6ES0sY6yQGH3VMftIJkqQf99NUGBVmBFSAtIIo8jjxtIi7ad+ect9/POu3O8g2Qztcc9l0o3DJ/KodEm4O3p73LDjbfSsk1HDj78BKwpxDkVGYPgW8RL+fNidiq+HbJDlFAmDpNfyLH9T2fNOsOf/3oTX331FUEQZEuL92Qq3TBQoIxh6bJl3HbHXTgC+vYbgEsUknIBWnkpSiMWE2kz+biFQqrsxaleSyjIeKokMgwLRlFqHXs1bEG/QT9j/qdLeeDBh9i0aVNUE75ne6m2yzAyZSr+cpfL0G//tS9/sGT+E++aNRo2FZdwz/2PMGf+Evqf+nPqNWmNtQqcr8XISFEqNlfOq7JDT1V0DGyz+qfKIdkMs6i4ShuczmH/zgdzRN+BPPPseJ6fNBknoe/6JA5xIJmSmW2+bsUA7lZ+WAXZbsOoOLR/3Ccq34RmToxzNsrgDEmnSnhu9GieenYivfqeSsuOR5DWtdBakdAW1ObttohagGV88VWbCudqi8h81cTHgnQUGfLaVAZJ5NHryP40btWFW26/j3dnvI/CIi6F2B0oi63KpyBiu8ZWJnTmT1UFicjtPhkKREd3fQfW3220Vkx/ZyZ33v0vWrTpSLdeh2MJsCicwqd5kCme+bF/sypQDUZAlq0FIf05d0Ait4ijTxjChmK44cbbWPblSpQ2vqnndtp7NhmhCsQ6/xfbd9PdrKDrx36qzID2M4cS7/0ItGL50uXcfMu9lNh8ju1/KgW19kZ0onzZVg1OYE1BSNKwaXuOH3wmcz5awn0PPM7GTb6/uFJb1G5swVarKLf27yrEdq5G/EJSbLSmjH4qTvzPs6l8UeE921pZCziLUpqNG0t46MFHmbtgKf2GnkvDZu1IuwDrgMyMsfM+Z8xPxDlNWnLo2OUwDj5yACNHTWbs+MnedavsDwdbRRAbgnNIxt3L5n1kq5r7d/v2GM5BGEYF9xUygLSfDbwihpe2SaVTWGezm2wnXoRAnPWPUwoRxdMjx/L402PoddjxtN6/K2kJEDGobI031bFF3h6Lr/1LEtokB/XuS4Nm+3HjzffwznszUSbIir9tLfiXuf4+m1d7dy+b95GtqBlWsWVcZRVMbZeulBIo27SJFSu/YPWGTaRCb+tGhxTkJSkoqs1e9RuQl5eXdaO6zZ7vDUSLgiDB9Lff558330PjVh3pc1Q/VKLAe6Ew2YRCv5upWneRmo0gaJxKUlinCScOPodH7r6eG/55Bw+2vp3GjRpGJcj//TxwKC1s2LCexV8sIZV2lIUWlMFoTV4yQd26dahbty6FhYX+WRV6K24p5r072D7BNa1Zt2Ytv7nyKl56/S06d+9Gbl4OYdlGUiUbMclceh96GBdecCH77b8fUD5FKgU2DL3ekzF8uWwFN99yNzl1GnHcKT8nUViHVNphdAJlVVacWFB+cxfPGlUCrZzfkEoAACAASURBVP2gt9a7YvZp0JqBp53PhJF388CDjzBixJXk5+ZGGldU0AZWkdid5YOZ73P2OT9HlKFV2/YEiSRh6FsW5CQTtGjRkqOPPopjjjmGvffe27+Wc5USTNxOw1CEZWWsX/s9ebl5/OMfN9CqdXNcupRvVi3nsSee4uFHHsaJ409/+jN1ateJdh0epUArzbo167jz7vuYOXcep1z4G/ZquC9loY7KFTLF+pnlqvKqH7FhVAlEbFTCrgidRquA/Tt05ZsjTuDRJ0bRonkzzv3ZmWx1Zxi1JSgu3sjGjRs59oR+/OX//R8FhUWUlpWx5tvVfLpgPmPGPMfw4cM49dTTuOaa39K4cSO/AqmgWby72H6JzsCSFIuYHBq33Jd9mzcEB61btyCvIMnkl17k/Vlz+H7DJvaqXSdK9ovcDiZBGFqeGTWOfz/9HIcfdzKt2nWm1CbRWqNxeGd4NH3GxlDlEMkscAWlLYLFasNBhx7Pp58t4qZbH6Rt+/057OAeiKQor7AxOB2AWJJKSGhNXt19aNyqFXvl5iKAbtuGg3t35/i+h3L1iKt55KEH2adeQ67+3bUoYwgqYcbYTq+UgApJ4FAmh7RzWZfCpk1rmPX+O6RKSjmwaw/ya9XGCdmEP5wXYH5v5mzuf+gx2nXoTp/DjwUSGBWgnUaJz70RJThdfuyWNnkx24cyCBoiVUNRaaxATuHenDjkXFRQh1tvu5+ly7/yEwQhmQwJH5cKCCSNFkcKRalzOEKfXW0FcWmaNG/Ab664hIYN6jFmzHi+WLEK0ZWz09zOGcNni2qtKN60iUcfe5x96xSAUnyycDYvT55I546dueDn51G7qBCnhEwqjdKKlV99yc233EZa53LC4DPIKapHKsy0142XS9WBisPT4bVytTGkxdG4eSv6DRzCqCfv58F/Pcq111xOUUEu/3VhtzLCfRVB9AvnaL9fe9q1bceMOQtYunQZrVs2qZThsd33ZIVCaY04y4JPFjBr9ixmzpzF9999T9MmTSnZsIHnxz/P8uVfeX+SArTCupCnn3yCN954iyOP7U/dRvuSIgk6AfaHA0MxVQsVpfU4FKIDLAarDCkntO3Qkc7duvPoo//mtTemA4noWeUyqZn7YOaSZzIptNI+o0IZwJBM5gCKVElppd0zt3vGcA7S6ZD8ogL+9Jfr6NS8Cc5C2q5l9crl3HnXw9x7112krONPvx9OUW7gFcWVonGjRuTn5/PN92soTYVg8qJIukRuuXjNVNVRmaIrZbK1MM55b6NWUFpazHdrvmef+g3Ye+99yp+X0YHINLmJMkGzMQwVtXZwQBBQUpbi2+/WkJuXR5PGjSptZGz339XKt6CyLqSoqICCWgUUFRaw1971aXfggZx+xunk5ubx+uuvs2btmmyhDloxaMhgzjnrDN6cNoXP5s0lIMRoQWsVNVKMqdpsmV+tcAhBYEho0C7N9DdfZdnnn3H1iKvo3rULFVNON8uKjmprfGauw1ohTDu0CRArvPTSKyz4dBF9evehdctmOGer7lJK8M3SMwmi2bGcAJQmXVrKhx9/xJp1a2jZogVFRUVkp1CB3Pw8Lr74Qjrvvy/Txj/JN8sXokgTItgqlgoQs23KB6hglDcIE5Ywf+ZbvDVtIueddQpDB5xIUmfyecp3JkZ5HZfAGLRJkAySaJ0gCAISiYBvV3/Ps6PG8M8bb6VBw8Zc9MsLqVVYgKrSkW9AKY2Io7hsE6OfG03bunsBOazZ+DUfz3mHyS+9yYHdunDBRRdSlF8ALkSjsEDaOpo2acC1I37N5ZdfzasvPMeQn/0alb931g0YU/WR7K5AoZwlieW7VcuZOv5Zuh3Qml9dfB4FOYFvM619RrUoTegEg/hcKWuZO3sOt912K3snNWXFji9XfM3nSxbw0UdzaNa0Bb+/7s/06dObdCodiTAE7G4PzXYZhhUhv7CQgw45hDX5e/PKlClMD9NYl4MKQurtk8/lw66g39CzaNG8aXnjR/H+bycQKMeRh/bg99dcxu//eDOzZrzBQUcNwqlEthpMZWo3tqjnjk2nMtjGTC4CymGUJSzdwCtTxlMnX/HnP/6Wpo3rY9Mpf8FMInvhjFbgoEGjJhx59FF8sS7Nqy9NI0fSaJIUFNShTZu2nHfeORx51DHss3dD351Xldfw7O5QxnYZhlGKWvUaMOKvf+PiVIhTQuAciCZIKAoK88jLKyIEXFQ+kbm7aKXJM7mARRlhyMlDmLfgC5545jn2LqxFu+5HUUISQwgS+g25MoR4v3mAq4aGkXG7VKNsLwG/snZR6kF5FyuIAnsCTjmUCNZu4o1p41m8cAbX//W3HNSrm39cMumj1EqD8ptsP8g0bbv24c6HHqHU6agNnNcQy8vPp7CwMDv4nYMgMICgdeW0idyuvyoiKJOgaK+9KNrG751zm2kB+mBQtC9RKvpTlrz8fH7xi/OYMWMuk8c8Sd1GLdmrafsoAU0hRmdNodq2HN5seVidzLri+VblXyW60SkwShApY96HM3jz5ee54OyBDB50ondNobbYtEaVliLeUHIK2KdBwf98F+X+mMo7dz/KJZRxuW0tdz6TAbnlUfH8AjgX0rJlU/7wx2uoXTvB61PHYTd9R0IJTgdYlYMQYAQCcf6kxux6Mp6STEWRKJAAxMcWnEpg0Wgsa1Z+wWuTRnFYr25ceuml5OYXbmc9hWw2hrY1lqoCO8VXui2j+C/jiNaK1qXo3bsbV/3mYpYvnsv7b0xBuTJQ2gvkiEE7R+BsnHq+2xCybRScLjeK6PAK84qSTd/z+pQx7J0vXDviMpo1bUToBNnD8nd236fZoowxCIRBg/oxuP8RvDltHJ9+NINAWb98Esm696rXUmRPwZcR+Q4AfrOttMO5Et56dQqLP/mAK391AT17dPIVnFrvcTHa7XPX/gSXgCjvVSgf5D7nCqCoqJDLL/0FCz9bxEuTnqVu46bs1bA1KIMLbeTyI7aNykL5WcSRwuBYMHc67782lZ+dMpDBQ09Cm8gl+z+CtNVRnG232LmojI/DtydWBChnwDla7tuC3/9uGPnJFG9MGY0qW0NAyudZia7Comp7Nn79b0GnSCQdG1Yv4dUJT3Fo705cfvmvyM0v8FFsLb4XyR7GLjcM2eJrRoxHoUE0ToRevbpyxaXns2DudKa/PAFtS3BKY02CWIpzd5OpvXaYQEClKC79jsnjn6TQFDPiqkto2qypvy46AKWzDaf3JHbDjJHJx/RkYqcZnahMY7FTTx7EGUNP5I2XxjNvzjsEJoSolZgioz6SeTSbS0zE7BQkoySvBGUcSBoVlvD61IksXTCXa4ZfRo/uXbA2jOIUJpL62vNuX7s8epKRWatQArzZV8GnEOQXFHHVby5n6bKvmDZ5NI1a7kvtvZthXRIrDozGZfISncKIVxuRqthcNOuFk2rjVRPxhWFWLE4sBkeODln4yVxmvjyFn581lIFDh/iCZe3rbDx72K47Yrd8qh+6m0j0CBGhRcsW/O6a4RQkYdqEkdji70kYwRjt05cziWkKbyR75jWpJBQiGnFCwmhyDHy7ahkvTnyOQw/uxhWXX0p+gS9O84IH1cPgd5RKH1reYxEFe2xI926dueqyi1n08Qe89fILuFSJb9ouPpExk7EpOurUGrNzUF6+SCmDkpDidauZ9NxTJEjx2xGX0axpA58cWEOcIVXCMLQ2PnvXObQSThkygNOG9ufdN15k0YIPCbRgcOUCC0rjlCrfb8T8dKL6fO0c2pUx/c2XWPLZR1z2qws4qFtHnE1F51vt8bMF7IY9xv9CAWiFdgplNDYMyS/I4YrLL2LlqlW8NGkU9RrUZ+8GzXDiC2T+K1pY1cgMnOqURAiYSERv4cezmfX2y1xw7qmccfqgyB2rCXSUUq7ixjG7nOwQ15EbV2tCG9K8RVOuvOISctRGpo57gpL1q8hRFuNctq931TWO6pdEqIGcwLL6q0W8NOEZenbbj0su+jmF+blYK9nEyJrQTQmqkmEAon2uFNpn2Pbo2YNfXXwWny+YyYy3pkFYglFgRHnJnbjIaaehlVC8dhUvTRyFoZgrLr+IFs0bR47YBKKqovtv11HphuETmv2CwzcgMYg2oA0mUJxz9hDO/dkQ3n7tJT7/dB45xvjG96JiZbYfzeba8+UolHK8/dpUln8+nxG/uZQ+PbsgLsQ6AZ1AiA1jN6M2+1abSMNKKWzoKMgr4tJLLqJ7l3ZMGf8Ea79djNYpQgVO6ahZk2x2ZMKAlbW+z/7tKtXOWFCEQIgFQgyh04gNyVGlfPHJTGa+/SLn/exkThk6wC+XtCYwAVopdA27B1UBw4BMQYvBvyGjvWEEJkHKGpo2acGIYZej0t/zwthHKd30DWhLGFWdZfQoVFbF4gdbwu1ytlKGUkWwgMUprwzogGQgrP5yIZNGPUTPbu245KJzKSzMR0T7NtLaeEHuqvVBdjlVxDDKqSjO5bNG/BU5uE9vfvvbYSycN4d3Xn+RhN1IQqVw0czhlMFGblzImEtVuVtXDYQARwIlCiUhOcZRtnE1E8c+TUJS/O7a39KkSVOv/6Qrdq+oeVQ5w6iIE8EJuGhxdMqQwZxz9inMeOMlVnw2lxyVQikbRcJ9E0uffiIokXhzXgGvBZVASOALjdMkVSnvvD6VVcs/5ZqrL6N7966V1qilqlGlDUOhollDo0TIL8jl15dcQPdObRn/zL9YvWIRRlsU1qdIAxIZR8x/4/BlqlosSUr59MPpvP3KRM49eyhDh55EViStBgTw/hdV2jBQYIzGGIU2GsTSsmUzrr3mSrTdwIsTR1K27hsCylCElPfkiA1jqwgESpGUFF8vnc/4Zx+mR9f9uPiiC8nPzwcUxhiMMdFSquZSpT+9AnRm1+eLxbDW0qNHd4YNu5yVSxcy661pJGwJRtIgkfQ88e5iS5SAwaGkjFTx97z+0gSKksI1I66kSdPGWFueYFMZrb2qGpWeEvK/qKCjgBNIhWkCAyefMphly77k8afH0qRpY1p17IUQZPN5QMcTxxYYLIGU8cark1m59FP+8sfh9O7ZgzB0OFTVHwy7kSo9YwDZW7/ghbi871BTVLs2v/zFeXTr2IZxI//NN8uXYLLTRLTPkMwzKx7bDnPtSWz+iaN7hCvjk7kzeOuVyZx2ykAGnNSPIIiEDGr40mlLqv7ZyBQnoTAmIBkkMdqgtaJZy8YM/+3lJHSKV6ZMwG3aQEIU1glWG1w2I9fiIxsOF9UE7pEFgF7QA993XQhxOCVYZwlMwNqVi5g65iF6dGnHLy48j6JaRYhYjLIkjKs2RVW7g6pvGFmUNw6tsz0ZBEevPj35wx+vZdniecx462USpFBiIXLh/tDr7blEddvR/xNGSBWv4aWJI6mV5/jrn39Hy5bNvWtba4z2y6yYcqqRYfw3zoIRw0knHMvpp/TnlZee49N575GjUxhnwYHX2Q4oF2EgUsXdA526ymGV9b45ZdBOkRTBSAlvvTqO5Us+YcSI4XTu3AlrHbFXdttUa8NQGFwo1CrK4ZKLzqF7l5ZMeu5Rvl3xGQmXIsAr6onzB84PFmMdxro9bi1lEUITVaxYRQ4BJl3Ggtnv8PrUZzn7zCH063e81xoWVyHNo6LqcAxU87OhiMTctKZVq+b8/f9+T6A28cqUMZhwI8alfU6oSBT4K09z0HuaVUR4751FOyGwadZ+vZwXxz3Nwb0O4MorLqF27aIo9ynjks2ck6pc37L7qd6GoRWJZCK6wJbOB3ZgxPBfs3zJPN58ZQKBTmFIgwtBJCqH3dI/tecg4Bs9KkegywjL1vDipFHULgz40++voUH9+igNJjCRzD5kXdvVeyjsdKr12RCVEUUAMGgMQwYN5NST+zFt8jMs+PBdjCsl0C7y0wguI+S9B94cNQacIomA3cibr4xnyaLZXHXlJXTp3BlxmQBoRSduPFtsjeptGNFwJ9pLWKepXas2v/71L+nUpTXTJo3m25VfkDDeeSlKEKWyxrHnoVBWkwzgk4/e481XJ3LmGYMYPHgAiiDKgdqzZsldRbU2DLIlSZG+YaSL1KJJE/78x99RmGd5ddo4UqXrMVpQWkW1TFKhaGLLAOCWobEdeFdeJpzNNPp2iiVmKk18TpiPxZSrdiiEpBFWfbmEV158nt69DuSyy35Bfn6OP0u6Yi+72EB+iGptGAqFyWweFehAEQQGhebw3odw2cVnsuiTt3jr9YkYUj4V3UEgGuWoUGG384wi874yEqSbLVN2goCDEuudCV7tBhuVAyOCljTpsm95fszjFCRDrr3mSpo2bYyoNCQyOlzx0ml7qPaGoSrKf1KujatUwOChgznjjMG89tJEFsx9D5PeRKAFpw12l66ltly777zBqKJYjP8+6iHiLAGCTW3ijWkTWfnFAi6/9GK6dekCceBuh6jWhvHDCEW16nD55VfSq/N+vD5pNMWrl5Eb+OR0pxPVcJ8RpRhHCikahVGCJiQnAYsXzOWdV6Zwwc9OZ/CgE0kYny8mEs8SP5Y91jAcirJQaNiwIX+6bjhJu46pYx8nLF3rc6iCYIu5prqQ6YMayWWLJcc4vv9mOZPGPEmf7h0YdsXFFOYGXpXc65myB1/qXcKefbaUwTlLt84duOryC/h8wUxemzYBZYvBpbPdZncNu2BzKyBO+SxjEZQLCSRF6cZvGTvyX+xVYLhm+GXss1ct3y7Y+P2XUpkFZ3W8EVQOe6xhZMQUEAgScOppQzjvnNN446UJLPnkA5JSQmbw7nzjyARLdm4bABF8hykBoqxYCTfx1quTWfLpHIZddTEH9eiMEwtao5TxPSww6Go6P1YWe6xhQFS1ZgxOIK9WESN+O5w+PTry2qSRrFu1BKPLZSedVB8RAKNBYzE65NP5s3j39alccvFZnHHaQLTx7dmsU77TqtLVcC9V+ezRhmEUiDhEBQiaOnXrMOyqS8nXpbw4/hmKizehlI8DbF7KWck+/i3/fPRvrZX/PGIJErByxVJemDiag3p24pcXnk0QONABFq/maEWVR3nEHzHbxx5rGJkVtdbaF/Yr5fv99ezBr391AZ9+/C7vvTYJ7UpQ4nBO4zDZDrOZtso7gkTlUP77HxcjKX+UAico5/z7cZHKonGowLJpw7e8MP5pcill2JW/onHDBoRhiBcQ1FF7Bb98iu3hx7NHl/n6tsnlM4FzaXJyE5xy+sks+Pwznnx2DE0b7UX7LkfixOCsJqFBuXQUuN6xNUh2f5O9RWdu1/97iAoKUV4bK2OgSomfKRyYHIMt28j01ybz7dL53PD/rqXPQd1BqUg8IrrXRe89+wni5dSPYo+dMbYko67ngNy8XH51yUV077wfL04czepVS0kYn24hokFlUicqYzRlity9gJzTBodClIZAY6SMRfNmMeud1zj3rNMYOnign93wm+04LXDnUKMMA8BZHwlu1qwJV1x2EUnKeHHCM6SLvyMn8F1ifX/xylEZ8QPaRY4tFSksgjaaQAvfr/yCSaMfo1uHdvzywnPJLchDaR01m6oxl3OXU2POZKYwJ7P+FrEceshBXDPi1yxb9CFv/+d5VLgRrR1Ooi1rJSzOVSSmmUmQFByOEKVC1q1ZyZRxT1I7V7h6+KU0b9oQnPVt2gTESVyuupOosYahUARGc9rJAznnzEHMeHMqSxd9SI62aO1rN3Z4xsgmsO5AHCPrPfLfiFiUS6FcMR+88wrLF33Mdb+9kp49uvgNvsILGgReOaWG66TtNGqMYQCbuWR9OnhAbl4ul170c7of2JrnnnyA77/9gsCk0LryBHYkO1k5tArJSzgWzJnOe69M5LyzT+bkoQMwgd68NDXeVOxUapRhbI7COk2YtrRo1oirh11MninlhbH/pmT912gVdYjd/W+rwt8VEtqxatkiJo96jF6d23DxxecT5OT4aL0qb1wRxyl2LjXWMAS/sdVKIzh69+rGddcNY9GCObw//RWcLcuqM23eoWknV8FlO0H5l/WdaRUowSiheONaXp4ygcI8xR9+N5xmTRvjnEN01NI5niV2CTXWMJSCQCuUNiiVwCRyOWXoEM49cwgzXpvAZx/OICAECXHifDlstBnmJ+gYZoN3Ph/cxyvERYcgEuAkBy1CEG5gxmvP8+Xns/nddcPp0rObN2ZtMNqU7ydi49jp1FzDwAcAldGgEzgxBEGSSy66gC4dWjN57BOsXrkY7VKRzKe/O2fi2T/l72ZeoWJ0PfOKWhtAEUjIJ7On885/nufM0wbQr//xhCLZAiulvBL8ZgG82EB2GjXWMLYkDB3WWlq2aM6wYcPIDVJMe+FZwrL1JLVBOS+4AAr7ExvbK/G9yiXqAmWVyX4VCUnqEr5ZsYipE0fTrXNHLrzgfPJzcnGh2+E0lZgfR2wYEcb4UxGGloP79OLaay9j6eKZvPfGi5h0GYEA4hM1fuq63suDesUSUQaLxuGj8gmdpmz9l/xn8ihqFwT89S9/oEXz5igHxmlMHMTbLcRnOUJrTRAE2W5CQwcdz6lDjuP1F8ex4OOZGAlRznmlkZ+4binvLqsRZXxulFEIKVy4nun/mcCyRR8x7KpL6d6tC4HWGB14MbWd9oljfojYMCIywb8gCNBaU5CXyyW/OJ8uHdsyZfwzrPlmCQmVyqoa7qwFjWSSBG0ZCZXm04/e5+1XXuC0k/sz4MQTQFw2Q7g8dhGzq4kNYxtYq2nZYl/+9rc/UZCTYurEp0gXryYQi3H8+Ij2f5FxBluUS5NUKdauWsJL40dySK8uXHbpLyksyCtPT4ntYbcSG8ZWUSBJkAQ9undh2PCLWPzZ+0x/YwoBDoPJCNfsGBU2KQpHwlhc6TpemzyWoiT86Q/X0bJ5c9KhzXahjTUEdy+xYWwT5cUUJMWQwcdz+qkn8ua0CXwydwYJCRFxlBfDVlQIdBUGccUQIV7wTAlWlRciBSLoMMUbL73A5/M/YPhVv6Zr105YJ2hjcE52tjRVzHawRxcq/RRMoNDiUNpRVJDPFb++mCWffckr45+g8d77UNh8f9L4LrK+drxihZ4vpc1oIqAEUT4x0SpHqLwiYtIpcnHMnz2Tt//zAuefO4jBQ45HaUjoqFGByOaxipjdQjxj/ACZfa4Tx74tWvC7a4eRG6R5ddrzpDeuJalBaYV1YCMnrBLlq+4iG1FZDVvfn0NEezVBJSSN49uvPuc/U8dzSK+uXH75JRQW5pf/fYg325VEbBjbQjKqfwalNNaG9DioG1dccQmffzqHt6eNR5dtQCOITmBJ4iTwCoHig3iZtY+Iwbc8M0DUAkwpijd+y+QXniaZU8J1fxhG48aNsLb6qJXsycSG8YNEad2isNYiYhkydAAnDz6WmW9M5PN5MzCSitoK+EGvMBhcpCmLN67od0Sb9kAUpEt445UJLP1iNpdedjYHdm5PGKZRcQCvShBfhR8kU+/gg37gqF2niCuuuIQ+3ffjlSlj+G7VMhKEUZpHJlFWkcmqUqJRVqEyLl4JSZBi8YI5zHznP5xxxgCGDu6H0S5qARZfkqpAfBW2QUbFP1P5Z0yANgqRkGYtmnDt767CsIlpE58hveFrclUZSiyCxlLBIxspEmqxaJcix6RZvXIRU8Y9xcG9ujDsN5dSt1YROpK9iUvwqgaxYWyLbOVP5HjN6L8qEAnp1L0zv7rkfJZ8+gEzXptAjt1AQoV+9WQCL76fMS4EoyxJnaJs02qmPP8kyaCEKy67hEb1GxL3wKt6xFdjqwgQRkemv4RfVin8nsEpGHrKQM4+9STef20yi+fPJKlDRPlnOR0ZkXJo7dCSRrtS3n51Cks+n8tll/2Cg7p3wabIBhP95YjDeFWB2DC2yZZVQOX11YLCiaZ27VpcPeJKDunZmeefe5JvVi0hmRQQi8KASmC1BZUiqZ3Pg3p1LBf98mzOPvMUEkHg6y+yMv3xMqqqEBvGVlF4L1IQfa04aH0fP60CEEO9ho24avhViJTywsSRlGz4ilxCjAtAJZCERQVlrFr2BS+Oe4aDurfk0osvJD8v3y+zjKrw8lv2h4qpLGLD2CY/lH+RaR4viHN0696FKy+/hC8++ZD3XpuCtpvQkgYJ0ZKmeON3vDB+NEkjXHv1cOrXq4ezFhHJHjFVizglZAdQykuiKQxKHEbBOWedyoqvVv3/9u4mNqoqDOP4/9x7Z9rS1kiQlrTQSkKh4ALQ0EKBvRqiITFhge40JCJ+wr4qOxOjuMG4MdIAIboxKWmiSU0ANUaJIh8DUcvXQLSagh06nc6dc1zcmYLJNcVrTWfI81vP4s4kz5xz7jnnfflo4BO6OpYyr74B44p4YYFvj3/OaPYn9u59hd6edTjK7QmsnX7rJdVFwUioUrO5Uv+pubGBHc8+w7kzZ/hs8GM29G3EGMuZUyf5/dcxnt6+la1PPIbxylXLuT1SKBjVxziN4/9apUaIcVEDF5zFlcD4PseOfcmuF/cwkS9w7foliqWQLVue5J2332Jx20KcK2C8dNTtSKqW1hgJ3LFWBnwody2yztLX18sLu57jz5uj3MrdoHt5Fy/t2sGSxa1R1ybja3e7BmgqlVBlx8EZcNbDltfqfuCzbdtTjIyMcPjQEV579WU2rO/B2iLWuehkrVON2WqnqVQilVpQ0c26qNmRxVqH7xk847h69SqnT2XYvHkTTc11WEKc87HWJ/ANnpJR1RSMRCpVPoBy2RtXuWmHBWsJyht3zkWXlKKmNAZMEB0WnLuHl7ugYCQyww1sN8MdVKWi6mkVKBJDi+//g0aEmqdgJBQ3A600wPynZGinu3YoGLPAORc1cimz1lIoFAhLIQZDKp0inUpPfy6VSikcVU7BmAWVg4BTUwUymfN8d/IkP/8yQm58HD8IaG1tZWX3SlavWU17W5tCUQP0ViqRqCH9nUZHRxkYGODAgQOAoXvVKtrb2wnDkGw2SyaTeKAwxQAAAlRJREFUYe3atbzx+ps82NkxN48td00jRkLOgTEWYyA3nmPfu++x//0P2LhpPbv37GZF9yrmNTRgrWX8Vo5T3//AxUuX8Hy9CKwFGjESsA6KRUvgT+D7Bb4e/oZt23fSvKCF/R/uo/eRh/G5c9MvursxVZgiCAJSQRq9uqpu+vtKwNroOIihCDbPieNfkL1+jUcf38JDa9ZQirpMTh9Nr1QmrK+rw/d0qrYWaCqVgDHgBw5jwIWWs+cyNNU30rVsKWk/ze0CCn+nsbl2KBiJRNXNXbn8pvF9SqWQsFgoX4j18DxNlWqZplIJmPJhQec8fL+O5Su6KRQnuHD+AsV8iI+JenE7h7WOUqlEqRSNIlrS1QYFIwE3fbLWB6+e3g19LGp7gKGhQb46fgJXKndBqnzeQRiGjI3dIJ+fVDhqgN/f398/1w9Rk4wXlfk3PgsXLuDWRI7h4WFO/3iO5sYmgsDDWksul+Py5cscPTrEwYOH6OpaRktLy1w/vcxAr2sTcEApup2E71mcm+SP0d/4dHCII4cHGbtxk/uaG5k//34whsnJSfL5PD0969i583na29vm+ivIDBSMBCq39kz55h6mgHNFSiFcuTLKyMhFstlr5PN50qkULYta6VzSQWdnB01NTfiBZrDVTsH4jyo74M7Z8hko7VPcCxSMWRL9ik4HBO8R2seYJeZ2PR25B2iyKxJDwRCJoWCIxFAwRGIoGCIxFAyRGAqGSAwFQySGgiESQ8EQiaFgiMRQMERiKBgiMRQMkRgKhkgMBUMkhoIhEkPBEInxF9ni1eTXNOAAAAAAAElFTkSuQmCC)
Prove that △ CAB ≅△ CAD
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Write the following in expanded fractional form :
d) 0.00016
Write the following in expanded fractional form :
d) 0.00016
Maths-General
Maths-
In the kite shown, what additional information is required to
prove that △ CAB ≅△ CAD ?
![](data:image/png;base64,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)
In the kite shown, what additional information is required to
prove that △ CAB ≅△ CAD ?
![](data:image/png;base64,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)
Maths-General
Maths-
![](data:image/png;base64,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)
In
and
. If YO and ZO are bisectors of
and
respectively, find
and
.
![](data:image/png;base64,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)
In
and
. If YO and ZO are bisectors of
and
respectively, find
and
.
Maths-General
Maths-
Write the following in expanded fractional form :
c) 4.00524
Write the following in expanded fractional form :
c) 4.00524
Maths-General
Maths-
Write the following in expanded fractional form :
b) 2.0504
Write the following in expanded fractional form :
b) 2.0504
Maths-General
Maths-
Write the following in expanded fractional form :
a) 2.555
Write the following in expanded fractional form :
a) 2.555
Maths-General
Maths-
Maths-General
Maths-
In the given picture, if AB = FE, BC = ED,
and
, then prove that AD = FC.
![](data:image/png;base64,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)
In the given picture, if AB = FE, BC = ED,
and
, then prove that AD = FC.
![](data:image/png;base64,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)
Maths-General