Maths-
General
Easy
Question
In the figure below, the perimeter of the quadrilateral is 46cm, then the area of that quadrilateral is
![](data:image/png;base64,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)
- 164 sq.cm
- 174 sq.cm
- 144 sq.cm
- None
The correct answer is: 164 sq.cm
Related Questions to study
maths-
In the following figure ADBC, BD = CD = AC m
ABC = 27°, m
ACD = y Find the value of y.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASgAAACgCAYAAAC/k/EYAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACTpSURBVHhe7Z13VJVZ0u77/nPXvWu+O1/P19PTbZsQI0kQEyoi5pxzzmJGAUXMioo5tIg5YEZtMQdQzARzajNIkiCSkwR57lubFzgoIMgBTqjfrFqrp9jqTHt4qNq7wk9gGIZRUVigGIZRWVigGIZRWVigGIZRWVigGIZRWVigGIZRWVigGIZRWVigGIZRWVigGIYpO9ITERMVhbiUTGTJrpLAAsUwTJkR5bEaUwb1gc3eJ4hOk50lgAWKYZiyISsEx6e2guHv/4But5Xwjfgsf6H4sEAxDFMmfPHfhyld+2FIR2PUN+qEZV7BSClhnscCxTBMGZCBl1uHoVW70XC07gFzPR20tr+A4KSSKRQLFMMwyifjMZyHtUYb82Zo17E9LOtXR11za5x9nywfKB4sUAzDKJesOPgfn4F2dS0w89hTxCQHw21iQ9T4uQr6rr6C9ykZxX7RY4FiGEa5fHmC/TZD0LtNO4xZ74Xg56ewblI/dGvXBt2HLIdHSAK+yEe/BwsUwzAqCwsUwzAqCwsUwzAqCwsUwzClJjU1FXf9/HDx/DlER0fL3tLDAsUwzA+TmpKKx48fYd2a1airWx0//fQTbt28IX+19LBAMQxTYihievToIZYvXQLT+gb4z7/+iX//9z/Q0qwJ3rx+LZ8qPSxQDMMUm9TUFDy4fw/LliyGYb1a0KutiwF9esGgbi3UkSKo27duyieVAwsUwzDfhSKmbGFaBIM6NUU6N2xwf5w7fQoH97vCxFAPjosXITm5ZJXi34MFimGYQqGI6d5dPyxZOB/6dXRRr6YORgwZiONuR5GZmYGYT5/QvrUF2ltaICgwUP5VyoMFimGYb0hJSYGfjzcWzZ8LvVo1oCcJ06hhQ/DXcTekpWWPTfny5QscZs8S0dS5M6eFT9mwQDEMk0uqJEw+3t5YMNdBEiYdETGNHjEM7idOID0t/8S5y5cuCPGym2mNhIR42atcWKAYhhF3R3du38K8ObNRT1dHiphqYNzoETh18i+kZ2TIp/L4GBmJHp07wrxJI7x+9Ur2Kh8WKIbRYlIkYaKXNwf77FSNIqbxY0bhtPvJAoUph5XLHFFbpxqOHDqATCnVKytYoBhGC6GI6cb1a7CfZSvKAyhVmzh+rLhLyihCmAjv27dhVK+OFGGNRGxMjOwtG1igGEaLSE5OyRYmO1vUrlFNiphqYNKEbGHKzMyUTxVObGwMhgzsB9P6+nj48L7sLTtYoBhGC6BU7trVK7CzmSFFTNVEgeXUiRNw4dxZUS5QXLY6b0bN6lWwzcUZ6ek/sKalhLBAMYwGk5SUjCueHrC1no7a1auKWqbpUyfh0oXzokygJDx58hiNjI0wsG9vRH38KHvLFhYohtFAkpOTcMXjMmZMn5otTFLEZD11Ci5fvFBiYSKSEhMxcdwYUUWu7HaWomCBYhgNIikpSdQnWUtRUi1JmEhQbKynwvPyZXzJ+pHdvtkcdHWVfr8qWLViOVJSU2Rv2cMCxTAaAEVMFB1NnzwRNXWqCGGitI6iqC9ZpSsDePfuLSyaNUXXju0QGhIie8sHFiiGUWMoYrpw7hymTJwgpXJVYFSvFmbb2cDryhVklSJiyiEtLU1UilONFN1blTcsUAyjhtCd0NkzpzFpwjjUqkbCVBsOs+1w45qXfEI5nD7lLlK7eXPsxZ9Z3rBAMYwakZQkCdPpU7AaNxY1hTDVwdw5s0VtU+njpfyEBAehS4d2sDRvJtK8ioAFimHUgMTEBNF+Qm0oNatVhrF+PdHQq8zxuvmQ0sOlixaI6OnEMTdyZPvLGRYohlFhEqW0ihp2qXE3R5gWznfAnTJ+6qeiTmoYnjJxPOLj42Rv+cMCxTAqSEJCAk4eP4YxI4YJYWpgpC+GxnnfuS2fKDsiIsIxoE9PmJma4Mnjx7K3YmCBYhgVgoTpL0mYRo8YCt1qfwhholTL19tbPlH2bNqwDjWqVMLuHTu+2zhc1rBAMYwKEB8Xj2NuRzFy6GARMTU2MRIbU/z8fOQT5QPttjMx0MOIIYMQo8T9dj8KCxTDVCDxcXFwO3IYwwYNgG7VymjSoD6cljni/r278onyIyYmBmNHjRAC5eN9R/ZWLCxQDFMBxMXH4eihgxg6sL+UyknCZGqCVU7LxeaUimL3zh3QqVwJG9auQdrn7LnjFQ0LFMOUI7FxsTh8YD8GD+grRUx/oGlDE6xZ5YRHDx/IJyqG58+ewaxRA/Tu3g3h4WGyt+JhgWKYciA2NlbsjxvYr7cQpmaNTLFuzSo8elSxwkTQrKgZ06aKqZoely7JXtWABYphyhAaibvfdS/69+kphKlFk4bYsG4Nnlbw870itOOOXu2WLFwg1k2pEixQDFMGCGHaJwlTb0mYqlVGi6aNsHH9Wjx7+kQ+oRq8ffsGHdq0Qsc2lggI8Je9qgMLFMMokejoT9i3exf69uwuIiaL5mbY/OdGPH/2VD6hOlCNE7XL1NKpAve/Tshe1YIFimGUQPSnT9i9awd6desshMmyhRlcnP/Ei7//lk+oHhfOn5PEqSpsrKeJsS2qCAsUw5SCT1FR2L1juyRMXYQwtTZvjm1bnPHyheoKExEcFIQ+PbqhZbMmeP5U9aK7HFigGOYHiJKEaee2rejeuaO4YG5rYY4d21zKdMuuMlm7aqWoeXLdu+eHZpSXFyxQDFMCaJsJCVG3zh2gKwlTO8uW2Ll9K16/Vg9hIm7evAHDurUxfvSoCp1UUBxYoBimGERGRojUrWvH9iJiopev3Tu3i1cwdSIyMhIjhw0RvX53fcu3z+9HYIFimCKIjIiAi/NmdOnQVghTp7atsW/3bvi/eyefUC9IZKv/8Rs2b9qAjIx02au6sEAxTAFEhIdjy+ZNYuQtCVPn9m3FfU2AmgoTQQ3IFDkN6t+33BZvlhYWKIZRICwsDM6bNqKjFCnRHVO3Tu1Fi8r79wHyCfUkLj5erDqvr1cHXlc9Za/qwwLFMBJhHz7gz43rs4Wp6h+SMHXA4QMHEPj+vXxCvTl0YL9I7Zwcl+KzikwqKA4sUIxW8yE0VLSg0KW3btVK6NGlE44ePoSgoED5hPpDkwqoPqtn184ICQ6WveoBCxSjlYSGhoi5R+1bkzBVFhXgbkcPiwJGTYKiJdqXV1e3Gs6ccpe96gMLFKNVUASxbvUqtLO0EKlcnx5dxVql8l7pXV7QRhj6/zlnli1SU1VrUkFxYIFitIJgSZjWrnJCGwtz8Q1LzbwnTxzHhw+h8gnNg5ZtUkFp+9YWePXypexVL1igGI0mKDAQq5xWCGGiZQQ0/oSiCroU12SysrKwwnGpKJE4dMBV/Hd1hAWK0Ujo9W3lCkdxOUzCNLBPL5w5dQrh4eHyCc3misdl1KupgymTJiA5OVn2qh8sUIxG8T4gAE7LlsKyhSRM1atgUL8+OH/mtCi81BboAWDowH5iSN79ClzCoAxYoBiNwN/fH8uXLEarFmaoVb0qhvTvK+YdUe+ZtvHnhvWo9sdv2O6yBZlfMmWvesICxSidmGeXsHvJFMyYMROzbSWzs8cKl1O4H5Ion1Ae/u/ewnHxIjHXiISJ1jhdunhBbVo5lM2d27dgbKCHUcOGIC42VvaqLyxQjNLJiL6HvdatYaDTAP0mL8T6hePQs4k+WgxbhUtvlHMf8vbtWzHkv6VZE9TRqYbhQwbC4/IlMadJW/n0KQpWY0ejkbEhbly/LnvVGxYopgyIxc2NQ2BauzXmHX2OpLhInF/aC8b/NsSEnd4oTWzz5s1rLFowT9yv1JaEaYQkTFc9PMQscG1n7+5dqPr7r2IYHc0b1wRYoJgyIAHeziPQWK8Dlp7JbrINO7sQPav/DzrNP4k3JbwWoSdymlS5cN4cIUx1datj1PDBuHb1CmKio+VT2g0t/jRv2listwoPU53Fm6WFBYopAxLhs2UEmpBAnc4WqJf7p6FNpcrov+YSgotZkpOZmSmWDsxzsEezxg2FMI0eMRTXvbwQGxsjn2KSk5JgYz0d+rVriocBTYIFilE6WZlRuLpmAIx1zGG35xb8Hx7BvB76qNVwJLbeCENRAVRmZgZSU1MlYXqORfPnwaJ5U+kbTxdjRw7HzevXNeLiV9kcOXxQFGQullLf9HTVH0JXEligGKUT5bsPdp10oVNVF8YNGsGypTk6D7TFNo83SCjk+4e+segFavzokWIteHtLCzguXogH9++JBl5Vn51dURw7egR1pMhygZT+UiSlabBAMUonMyUOUWEh+PDhA0KDAhEUFIrImCQUdG2bnpaGWzdvYIwUIdXXr4sGRvpwsLfD48ePkJio/LIETeLv58/QtlVLsVkmKFCzpjDkwALFlDu05ig1JQW3b93EOCliImFqVN8Q8+c64MWLF+JrTNHQZIL5DvaoW1MH7idVcyuwMmCBYsqdE8fd0Kl9W9ErRuuP6BL89cuXajXpsaKhy3CdKpXEVmBNKSkoCBYoptwgAXry+LF4Cv/5H/9HjD2xnjIZr1+p5yiQioIiUKfljqj82y84uH+f7NVMWKCYMkcI06OHmDFtCkzrG8DYoB6q/P4rBvTtpVYLL1WF69e8YKhXG5PGj0VSkmbf07FAMWUG3ZM8evAA1lMno4GhHoz162L6lEmitslp+TJU/f0/Yk8bU3wiIiJEn12zxqbw8b4jezUXFihG6aQkJ4sxH9MmT4SJFC2ZGNaToqfJeCxFUTn3TBHhYRjQpxcM69UWl+VMHoUNl6PUbvs2l+zFmxs3qO0QupLAAsUoDRqMdv/uXUybZCVe5kykqInSOrp3SktLk0/lcenieXFu9PChGtWeUVrev3+PO7duIfrTJ1FNn8NdP180MTXGsMEDEK0lLT4sUEypSUpMhJ+vLyZbjUd9vbpoaGQIuxnWePr0SZGVzRQBLHdcgkq//AyXLZtFhMBAVMzTlpnxY0bhr+PHEBb2QYwoplSZNgN7eV2VT2o+LFDMD5OYmAA/Hx9MmjAORlKq1tDYELNsZog9bMV9+qZizn69eoj7Ke/bt2Wv9kLpcXBQoBhZfO7sGUn0x2FQv95iAF+1Sr/CzsY6X1Sl6bBAMSUmISEe3t53MGHsaBjWrYXGDerD3s5W9M9l/kBNzvlzZ8VdFPXbfdTCCZiK+Ny5I8YU0zJRP18fsSbrhNtRKSo1gB71JI4aDveTx+Hv/04rKu1ZoJhiExcXJ+5GJkiph74kTE0bGmPubDu8fPmi1OnZ0sULUenf/8KObVul30t7IoSvocjzyZPHWLZksdhAM2PaVAzs20dUjG/d4owb169hysTx6Nm1E/bv26vxxa0sUMx3oQkCt27dwLhRI6BXSxdmDU0wd85svHn9SmkvSbQ4s2/PbmhgqA9fH2/Zq71QGhcbE5Mr3DTVYYXjEvEDIjDwPXy8vXHV0wPx8fHyr9BMWKCYQqFvkBvXronUS18SpuZNGoqhccoUJkXozsVAiszGjx6ltTPFFXn/PkBESl07tMPlixdE2kciPmHsKNEu9FEL/h2xQDHfEBMTjevXvTBmxHDUq1VDCNOCeQ549/atfKLsoJlGlX79F3bu2K72G0lKQ0ZGuli8STv9Dh/YL3z0Q4HS7NOn3LHAYQ6uXvUUfk2GBYrJhepuvK54irokPUmYzM0aS4IxXxKmN/KJsodmP/Xu3gUNjY1w966v7NU+PD0ui78DKnZN+/xtDRmJVVlEsaoGCxQjtoFclYRp5PDBqFuzuljhtHTRQgT4+8snypezp0+JKZpW40Zr5TKEsA+hGNy/L1o2b4qHD+7LXu2EBUqLoXse+kk9fOggIUy09HL50sV4H1AxwqTIonlz8cevv2Dvnl1alepRmYbzpo2inWX71i2yV3thgdJCIiMjcPnSBQwbNFAsImjdsgWcli8VxYGqQpCU6vXq1gVNGhiLsb/aAjUAU4vQmBFDRb2ZtsMCpUVERkTg4oXzYvtunRrV0EYSppXLlyE4KFg+oVpQqlevZg1RqU4vipoO9deNGzNSLN7kBupsWKC0gIjwcJw/ewZD+vdD3RrV0c6yJdasXIGQYNWfYz3fYQ6q/OcXuO7dgy8a3OJBdU/79uwWqd3a1StlL8MCpYbQEzRdbH+P8PCwbGEa0E+sB6dNKbR1NiQkRD6h+rwPCECPzh1h1qgBHj96JHuzoVcs2jSsCRfptCSClpLSCBqa+cRkwwKlRlALSEpKivgAr1zuKIlUwd+Y1IB75pS76OmiVK5DW0tsXLcGH0JD5RPqxWn3k2J++dSJVmJyAhEUGIgD+/fBatwYsVVXnUlOTsLM6VNhUKcmPC5dlL0MwQKlRlCkcOjgAbEGnIblb92yWf5KNiRAp6Rv5gF9e6OWTlV0bNtaEqa1YlyHukNLPGmG+d7dO0VJBH1D06oqulN78+YN/N+9U8ulldTD+NeJY6hR5Q8sWjBP9jI5sECpEZTW0QC4ndu24tbN6xg8oK+UxoWLPjb3EyfQv3cv1JaEqXP7tmLioiYNgXv27CmaNjQRI0c6ScJ7cL8rgoODRQvI9CmTsXP7ViQkJMin1QdKUdu3aYXunTqIQXVMflig1Ixr165i2OCB+Pv5cxFFUSRBs4IolevasT22/LlJo+4w6PKYygw2SCnq0EH9UbNaFdjOsBYV707LlorFC9u3uiBBDZtmaRLBwvkOqFm9Ck6eOC57GUVYoNQM2uIxbbIVbKZPExtlf/35v0Qdk8sWZ1HfpEnQOqptLs4YLgnywnlz8eTRI3Gv9ss//0vMOV+xbIn6pq9ZNPL4AmrrVhM/aHiaaMGwQKkRdDF89NBBdJRSgt/+578lYWqOIQP7i7G5mgiNAaZL8JvXryEgwB+ue3aLkS9G9erAsmUztV5ZFRoSLApR21iYiy03TMGwQKkBVOFNwkRNtHo1a6Bbp/aSMPXD2tWrxCD9fr2648MH9XyhK4qIiPDcF0kq1hw3egRuXPPC0cMHUU9XR6S3SUlJ8mn1gS7z10l/dzqVf5dEd4/sZQqCBUqFoRqgQ/tdxUwgumOiQfp7du0U5QU+3rcxqH8fvHzxtxhqpqlRFA2vmzrJCnt378r3Sjfb1gbVK/0Hx92OqF16dPv2TRjp1YbVmNGibIQpHBYoFYSmCNA41x5dOgphoiFl9LyuWJAYHxcvLlg3rFsNPymKonShPOY1lTd055ae/u2ccyoroNc8i2ZNxchhdeFT1EexNqqpKfUYavekguLAAqVC0DcdtXR069RBVH736dFNtD8U1odG41/79e4pZlivWemEzRs2yF/RDk4cOyZqo2xnTkdqaqrsVV1o3vjObS6oJkV+VAbCfB8WKBWAIp89UoTUpWM7KWKqLoblUwQVG1t0g2x8XJyU3i3Caqfl4gJd26qQv2RlwW7mDOhU+V0802epeKr38MEDNG5gJMolYmNiZS9TFCxQFQhNqty9cwe6KgjTQdd9iIsr/of31auXOCD9Gm2FxL1961awbNkcb9+8lr2qB62Iyt4fWAe3blyXvcz3YIGqAKh6eOf2bejUro2Yx0SLGQ8d3K/xGzrKiuNuR0WryGybGSqZ6tEUhqOHD0npaCUxZ5wpPixQ5cib16/F3reObS1F8ysVHR45eEAtq6BVCao2p5IDuo+ixuKsLNVK9ah3slXzZujZrYtYYc4UHxaocoAqoqmxt4OUitACxsED+sHtyCEkqmHvmKry9u1rtG1ljjYWLeD/TnVeMymim21jI15jL5w/J3uZ4sICVYbQ8zf1xtGAONrQMWzQAJGOaMPK6orA7cgR6FSpBHs7G5XYuEvzqmgeFzVwO8y2lb1MSWCBKgNevngB500bhDDRXjlq7j1xzA1JiepX9axOZEipnvW0KahVvQrOnTld4WuZQkKCxWQJ+hxQqw5TcliglMiLv59j04Z1Is3Qq62LUcOG4ORfJ5CclCyfYMqat2/eiOZpmh5akUsg0tLSsGzJYnF573bksOxlSgoLlBKg0Sc0sZKad0mYaPGluyRMKcksTBXBkUMHoVP5N8ybYy+EoiKgBmeD2jUxeeJ4pKdXzP8GTYAFqhQ8f/YM69esgqW5GfTr6GLsqOHiFSmV+6sqFOrZmz55orj7OX/urOwtDVnISA7F01s3cMfvFaK/7bzJx8ePH0VNW/PGpvhbiqqZH4cF6gd49uSJaC2xaG4Gw7q1MGHsKJw9cwqpqSxMqgIVbdIiUprHTndBpSMLiQ+OYvv+0zh/aBfOvkjFl0Kut6idhdpYaFIB1boxpYMFqgQ8lYRpldMKtGzWFAYkTGNG49zZM/j8WfX7wLSRwwf3C6FYNH8uMgpoOP6WLGQmB+PRNU/cuO2HV+FJiHjpiztXzsPrxC447z+Hiwe34+SzlEIF6v79ezA1MsCIIYP4tVYJsEAVg8ePHorxsuZNG0sRU23RskA1LZ9TK/4pmymc9LQ0TJ04AXV1dbL7FL/7qkcC9RZeLtYYPmkTfIKjEeSzFUuX7MaN5y/g5+EJr5tPEZFe8O9Dm4BHDR8KE4N6uHf3ruxlSgMLVBHQrrIVjkvQoklDGNarhSlW43Dx/HmkfeZLT3WBimRbNGmMLh3aFnuoX7L/GSy0WgjPgE8I89mPfdfC8b2VoVTNfmDfXuhWrSyG0THKgQWqAGjPmuPihWjWuCHq69XBtMkTxU/ginoRYkrHAVdXsbF38YJ5xUr1stKj8WDLBFitO4HDfx7As8RMfK95hopy6VK8X88ehe4rZEoOC5QCDx/cF9MpmzUyzRamKZPgefmSlCqo3741Jg+qKp84fiz0auniqqeH7C2KL0h6fQgzBg3FwoPP8b1EnqZiWk+dJMYQX7t6VfYyyoAFSoLWGtHSRLOGDVBfv67YPXfV0zPfiFlGvXn18iWaS6k6DQOMCA+XvUWQFoDDcxxwNjClyOiJqtXdT54QvXaL5s2VvYyy0GqBunfXDwvmOYjxq8YG9bL3rV29wsKkoRxw3Ste9Sh9z8woKNXLRFrUQ1x0O4WLZ9xw+MJzxH9nMkJQUBDatTIXW5w1YYOzqqGVAnXPzw/z585Bkwb1YWKoh1kzrXHdy0vUsDCaC7260horql277lVQKvYF6TF/4+rxk7hy3Ruvo4sWJ6oQp88R9f6dPuUuexllolUC5efjg7n2s9DY2AgNJGGaY2eDm9evS8KkWvODmLKDtuCYNTJBjy6dilh0WrzPw9UrHtCvXVPMoqJXPEb5aIVA+fn6wMHeDo1MDGFqpA+HWbZi7GpexJSB0Kd3cPXMCRx1PQzPp6EQXXT+njiyYx1WrVmPzRs3wcV5K07fD0NM6Ev4eJ7CqWsvEJfMH0x1Y9+eXaJXb8WypfiS+WM/nCIjI4XImZs11shtOqqCRgsU7VQjYaJB9Q3rG2C+g73YhPJ1Khfz2ANnzpyBp89t3Di3EfPmbsbll2F4ecYFmzetxY5DbnA/5oIFU+2x99oreLsfwTmvizi64zCiQ4tx4cqoFPTqNn70SPFS+/V88MDA96Kfcsc2F+kH0mYxAfXG9Wv5yhMyMtJFqxNNKjiw31X2MmWBRgqU953bsLedKaKlOrrVsWDuHHEhXnAYnoF7R11x0ffv7KgJT7Bp5GSsd/fFo6AQRMdle5Pun8Dh07fxLjEZgZ4HcMjNVfoAH8XHD1Hi64x6QY3eTRoYo3eProiNjUVMTDRWLnOE1dgx4hpg2dIlcFruCMcli8Sr7sRxY/DXiWPIkv5DnyUTAz2MHTVCLdZdqTMaJVC3pejIdsZ0mErRklmjBqLAcvjggbCbaY3QkBD51NdkIjIkVBKi7PG7Wf77YT/eAXtvBCL3oxfrjV1Om3HuYUR2TUx8EF489IXfcykV/Mz3V+oKbSuuWa2yFGXPwhSr8eKxhNas06acqKiPQrQ+SqncXV9fEU2RSK1euQID+/aSovL6ojeTKVs0QqAoTJ85bSpMDPXRxNRYFFtSL1RCQgL+fv4Mi+bPw6hhQ8UHrSiyQq7hgKM9Vh7xxYfEnH6rL3h7cDbmulzEy1gWI00iOTlJpHq6kkiNGDIYH0KLboW5dfO6iJyoVGGbi7PsZcoStRaom5IwUfjdQBImM1MTLJfC8YJSOdrMO3+uvZT22RQaScW9uoGzh13hfvMtPgUGIzw+DiKmyniMLROmYcuFZ4gTJxlN4tnTx2hkYoTe3buKZt+ioGJPKimgs/HS54Mpe9RSoKhmidI3qmFqKqVyTsuX4eH9+/jypfAXtU9RUWIE795dO2VPDukIuLgR1r3M0brzUNjOmw97q/k46OcPMSzjxUYMGzIPbn7h+F4vPKOe7N6xQ6R6a1etLHQ7MU1HtRo7Gsb6dXH75g3Zy5Q1aiVQVFw3bbKVqPpu1tgUK1dIwvSAhKl4qRcNELO3s0VwUJDsITIR/eoOPM+fxWWPK7h6+RyOHDyHR8FR2R3sn17C9+FrRMRzdbmmQuu/aEwzvfTSy+/XUDuL2+FDYskqlSYw5YdaCJTXlSuYbDVeREw0+mTNKic8fvSo2MKUA11qUlEdPRt/H75v0iaeUqpnbIgBfXp/s3o+4H0AWjU3Q9eO7UX9E1N+qLRAXfHwEC8nxvr1xLC49WtWC5EpqTDlEP3pE6ZMnAD3k3/JHobJY9f2rWI78Ya1a3JXVtGIHXoZpujJ49Il4WPKD5UUKBKmCVK+Ty8mFs2aYMO6NXj+9OkPC1MO4eHhmDZpIs6ePiV7GCaP+Lg4jBg6WIqkjHD/3j3hu3ThPAzq1MScWbbczlIBqJRAeXpcEs2cDY0M0aZlC7g4/yn22isLP19fzLadKX34eBwrUzAUoTeUUj2qn6MFrN06toOleTMEBVbcjj1tpsIFKiUlGa5794i+JroDoBXh9EJHm2HpWTc0JBQB/v5iIWOOvVO0t7K9e5vP/P3f5Rr9etrsMc9htihLePTwPoKCAvE+IACB778y6YOYY0GBgXkWFJTP6KI9x0KCvzLpz8qx0NCQfEa1NjkW9uFDroWHfW1heSZFfooWERGRa5ERkfmMCgtzLOqjgkV9zGefPkUp2Kd8Fh2dZzHR0XkWE5PPqAI7x+Ji43KNIpEcS4iPz28JCpaYkGu0YEDRkpLyLDkpKb8lJ+cata0oWmpKaq59TlWwz5/zGaVuuZaebekZ6cjIzBBtLvQ57N6pg+hEOHn8mPxpZcqbCheoYOkbelD/vvhfP/2Ef/7f/42qv/8K86aN0Ll9G7Q2by6leE1h0bxgayXMLNtaFG6WLZqJbb9Uw6JfW1cs2CSjn4xfG/2Z35g436JQo9+7cDNHW0VrVbC1a9WycLP82ixyjTbo5rPWrQq0DmRtCjPL/NY2zzrms9b5rJOitVO0NrnW+WuT/l4Ltrb5jGaI51m7Qq2rFOHkt/YFW6f8RoPrvrHOHaQflB2lf18W+P2Xn/Hrz/9P3FnyOrGKQwUiqBQxhpUuwJ3/3CR2iq1dvRKrnJZn24plubZyuWM+c1omm2N+W+G4NNeWOy4RtmzpYtGmQEb/TGupqc8q1xYvzLWli3JsgbAlCxVtfrYtmC9mXCsarTfKsYUKRkPx8tncObk23yHPaBNufpuda9QfpmgOs+1yje5HcszezqZQm22bZ7NsZn5lM3KNWoNyjC6IFc3Gelqu0Ytork3LM4pSc23q5FyjsbiKNn1KnlHUrGhTJ1nl2pSJCmY1AZPz2fg8mzAu1yZNGJvPJo4fk2tW40bnGt11Ktr4MaPF1h7aBkN/tjKvGJiSozJ3UN+E3QUZnVGwr8P2goyaOYtnUnqQYyJVyLOv04hcoxRDwRRTjyJNIV1JKtIUUh1KexTs65Qo1xKkdKkQo9afwk0h9VJIyeKLMoVUTtHi8pmU/uWYSAXzTDFF/NYohZSN0knZvk4z85liOvqVReez/GlsPqMUV7Kojx/xUUqNmYpFpS7JGYZhFGGBYhhGZWGBYhhGZWGBYhhGZVGyQKUj5r0nttvbwH6WLRzsZmK27Wwsdz6C2wFJ8hmGUXVSEXhzH1bajMW40eNhs9AJG3ddQUg6z7Mob5QsUFlI/+gD1ykW0K/TAP1mrMKGBRPQq7EJuk/bhSe81YlRdbJSEXRhEQaYm8BywCxs2rIe84dZopm5FdyC03jkTjmj/BQvMwx+zn1hrGcJh1NhiH5yDHNa10XzIRvxkP92GRUnI+E+NvcxQD3DfnB5GInUzymIfOaOZSOGYN2tWPDP2PJF+QKVFYnHe0fC9I8qMDGzRHszYzRq1g1zjrzIm/HNMCpJFlIjjsLKUAf12y6Gb/a+DIksJEdHICY5kyOocqZMBOrRzqFoWLcpxqw/j2vHNsC2sxGa9V+As4pz4hhGBUmLugB7M10YNJkE9/CcIYVfkBkbjvCEDJ4SVs4oXaCy0kPhs6k3DOtZwOZYACKfnMTSTlWhazYMO57LhxhGRcn6HAGvJR1Qv5YB+q+4jMD4REQ8cIOT1Ug4ngsC35OXL0oWqDQpX9+H6c1roqZODRibNoFFU1OYW/bGrK1e+JAmH2MYFSYt4g52z+iC5kZGaGFugY5dB2O280W8jeVL8vJGyQKVhYzUWETQCJKQYAQF0LiTAISERyOR98cxakR6wkcEPvfB7Vu+eOYfhthUlqaKQPl3UAzDMEqCBYphGJWFBYphGJWFBYphGJWFBYphGBUF+P8OTdrplXJUEQAAAABJRU5ErkJggg==)
In the following figure ADBC, BD = CD = AC m
ABC = 27°, m
ACD = y Find the value of y.
![](data:image/png;base64,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)
maths-General
maths-
In the given diagram, equilateral triangle EDC surmounts square ABCD and area of triangle DCE is
units Then the area of the square ABCD is
![](data:image/png;base64,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)
In the given diagram, equilateral triangle EDC surmounts square ABCD and area of triangle DCE is
units Then the area of the square ABCD is
![](data:image/png;base64,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)
maths-General
Maths-
In the given figure
and
Then m
BDA is
![](data:image/png;base64,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)
In the given figure
and
Then m
BDA is
![](data:image/png;base64,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)
Maths-General
maths-
In the adjoining figure
B = 70° and
C = 30°, BO and CO are the angle bisectors of
ABC and
ACB Find the value of
BOC
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)
In the adjoining figure
B = 70° and
C = 30°, BO and CO are the angle bisectors of
ABC and
ACB Find the value of
BOC
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)
maths-General
maths-
In a general triangle ADE (as shown) lines EB and EC are drawn Which of the following angle relations is true?
![](data:image/png;base64,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)
In a general triangle ADE (as shown) lines EB and EC are drawn Which of the following angle relations is true?
![](data:image/png;base64,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)
maths-General
Maths-
In the given figure,
SQ=25cm,AP=12cm,PS=7cm,PQ=24cm and also PR – AP = 18, then BT is
![](data:image/png;base64,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)
In the given figure,
SQ=25cm,AP=12cm,PS=7cm,PQ=24cm and also PR – AP = 18, then BT is
![](data:image/png;base64,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)
Maths-General
maths-
In the given figure
B is right angle AD : BD = 3 : 2 and CE : BE = 5 : 2 and AF : FC = 1 : 1 What is the area of
ABC, if the area of
BDE is 20 cm2?
![](data:image/png;base64,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)
In the given figure
B is right angle AD : BD = 3 : 2 and CE : BE = 5 : 2 and AF : FC = 1 : 1 What is the area of
ABC, if the area of
BDE is 20 cm2?
![](data:image/png;base64,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)
maths-General
maths-
In the figure below, the line BE bisects
ABD and
BED = 4
ABE if ABCD is a rectangle, then
BDC is
![](data:image/png;base64,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)
In the figure below, the line BE bisects
ABD and
BED = 4
ABE if ABCD is a rectangle, then
BDC is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if
then ÐAED is
![](data:image/png;base64,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)
In the given figure, if
then ÐAED is
![](data:image/png;base64,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)
maths-General
maths-
In the figure below, CF and DG are the bisectors of
BCD and
BDC respectively then
GFC is
![](data:image/png;base64,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)
In the figure below, CF and DG are the bisectors of
BCD and
BDC respectively then
GFC is
![](data:image/png;base64,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)
maths-General
maths-
In the following triangle ABC, the angles x, y, z are
![](data:image/png;base64,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)
In the following triangle ABC, the angles x, y, z are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOgAAAB/CAYAAADlyo6DAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABrsSURBVHhe7Z3pV1Xn2cbfv6Lpl37ph7pWP/RDu97Vd3Wttmmala5ak2bokDnGpMakDjEah0TjPGFUcAKHOCOCoiLgEKMiKiCoOCMoIsgoKIOADML1nt/DOQYVFPAM+5zzXGs9C9mbA8d99rWfe7ju+/4fWVhYOBaWoBYWDoYlqIWFgxHeBK24oPxL55Vb4f7ewsJhCGOC3tft40u1eOYMzdpRphb3UQsLJyF8CdpxQ9lH1mj8R+M1fdYOXW2TOt2nLCycgjAlqIuKpXu0Z1ecvh4xTfMmTNfmonY1uc9aWDgF4UnQjjaVH9ykxN17lLhjldYt/FqTEkpV0+w+b2HhEIQhQVvUcjNNKyfN0YqETFXWpis5aoQGv7FIuy/UyXLUwkkIS4K2lmdqZ1yqDufecn1/W4XHt2nl4lgduVZvCWrhKIRvkMjCIghgCWph4WBYgrrQ3Nysmpoatba2uo9YWDgDYU/QwsJCTZkyRYMHD1ZERIRu3cIvtbBwBsKeoImJifr5z3+uQYMG6e2339aIESO0a9cu91kLi8AirAlaW1urBQsWGHJ++OGHSkhI0MSJEw1RFy5cqMuXL7t/0sIiMAhrgu7evVv//e9/9f7772vs2LG6e/eu8UMjIyP16quvavz48dq/f78hsoVFIBC2BIWIX375pdk5ly5daghKoAh0dHQoNzdXo0aN0l//+ldFR0cbX7W9vd2ct7DwF8KSoJ2dnfrhhx80YcIErVixQmvWrDEEfTRAVFVVpbi4OL322msaOnSoDh06ZCO9Fn5FWBIUkmHaErVlZ1y5cmWPBAWkYDIzMzVr1iwNGTJE33zzjUpLS91nLSx8i7AjKGZqTk6O8TuTkpIMWT0m7pNSLDdv3tS6devMTsqKj4/X/fv33WctLHyDsCPonTt3jO/57bffqqysTHV1dYqKitK4ceP6lANNS0vT559/rvfee08zZ87UmTNn3GcsLLyPsCIoOx6758svv6yDBw+aY/iZEJSIbXV1tTn2NGDiQnICSASSiAbzeywsvI2wIijEwu9k57tx44Y5VllZ2W+CXrlyxZi7kH3SpEn629/+ZvKmBQUFNohk4VWEFUEPHz5s8psZGRkmlQLKy8tN3pOIbl8ICgF5/c6dO9XS0mJMZnzZf/3rX3rjjTe0d+9eNTY2un/awuLZEDYEZadcvny5Ro8e/ZA56iEoO6EnD/okQM5NmzY99DsgLXnTOXPm6O9//7tRI7GbWlg8K8KGoMnJyfroo490/PhxtbW1uY/+SFAE8yiJngTSLZs3b+41MMRDYMuWLSaF8+abb+q7776zu6nFMyEsCNrQ0KDp06cbE/TRXfL27dsmokvahcDRo7I+SHv27FljHm/fvr1PUdvTp0+bHRlN79SpU3XixAn3GQuL/iEsCJqSkmJ2tUWLFik9Pd2YnxUVFSouLjZpE/xPyOsJ/Fy8eFEXLlzQpUuXlJ2dbXzM2NjYfpmt+Li8hp30448/NnlT0joWFv1ByBMUc5aUCCSEkAR3MFMPHDigPXv2aMmSJfrss8/09ddfG1XRyZMntX79esXExGjjxo1m52TX9QSV+guixdOmTdNLL72kuXPn6ty5c0adZGHRF4Q8QdkxERawmwF8QnbPvLw8k3ZhtyT1goQPc5fIbH19vTF1+donMnV2Gn1vb0AMwQNh2LBhRtfLbvo0f9fCAoQ0QZH1jRkzRjNmzDDk6w5PvhKykgeFoKRM+o97ulNaqKIblaq55z7UAxBJYDIjK0QoMXLkSLObWlg8CSFLUAgBAQj+bN261X30cZSUlBjfFDP0URL3CTW5Opebpp0/nNfZi0/Po7IzY2ZDUIJIpH7YYS0sekLIEhTzFL9y3rx5D1RDPYFzEJQo78MErVZlQZr2xO5U4vYkJScmK72gTNfKylSY9b3ST2brxMVyNRYeUMax7YraeEyH0/seBMK05m9CUvzjI0eOuM9YWPyIkCQoAR1SI6+88opSU1PdR3tGkZugj5nBrfnKO7xGc6dFKGLuNI375GutSEzUttQkrY9aqc1bN7tM43hlXsrS+bwTOph2UZeu9y/4w/skUAVJifRu2LBB169fd5+1sAhRgiIYIDo7ZcpUXbt2zXWkVU11t1R+s1K3am6rprxElbVNau5wmbjFN0weFH3uQz5ofbXqXP5paUO97lw7pIRdmTq3f6liN61RRGqdGkrylDZvglamX9Ilo3voGPB0NPxg3gPie/Kn5FGtwMEChCRBidy+/vrrSks72lWz2XFF2Snf6dtZ0Vq3drnmjx2l+Ym5Kmhxkfmmawd1kYOC7IcI6trdCMy23C7RqQ3RSjhVpJLM5dq6eqXmZ7nO11zXpWWfa3bSeWU3dL3kWUBUF5UTaifE96SCeD9Pig5bhD5CjqAI3slhktssKy/vOlhxThdzMnU464SOb52ijz5eoI3pJWpkB71x3VSizJ49u4co7m1V5CUpYsoGHc2rUev1ddq8KloRaVJbxVWdWjROC/efV64X05r5+fmmBxLie8hKXtYifBFyBN23b5/JN9Jz6IHmtqFO99rqVHLloNZPmayFuy6rpLlrZ0KcAEERuj9G0LtndTnlG30046hO33D9rnu5OrA5Wgvmb9DOXVsV6dqRUy6UqdbLmxy7Keonisj/8Y9/GB8ZM9gi/BBSBOXGhmx06ntUCNBenq1D0TM0eckBXbrXqgaXb3mvsV3Xi7p2UKK9jxG0sURV51K1O6tK5caMbVV5Xo6O7oxT8sGDSj5aoKq7vqv/5OGB+ohUEWILAl7W5A0vhBRBUevQWwhR+0PSvLoCpS3/Up+9O1rzUrKVdXyn4lNOK7+iTaUlRYag8+fP70f/2075sy4bET8PnbfeekurV6+2pWxhhJAhKKqhr776yggAHpPRFSZq47yxGjp+lbbGrtV3c8Zp1tZTOufiY3kxJm5EPwnqf7C7o3j6y1/+YrTFBJSswCH0ETIEpVaT3ZOKlMfQ1qi79bWqqWtSc2ODGmpvq7axVa2uTfbatatGi8tyMkFBU1OTCRrx/4SotAslpTRQIb+F8xESBOUGpacQtZf9nU6Guch8FsxcpxPUg6KiItPVgQAS/qlVIYUugp6gkBMROjcqSpz+grQGBEUoEEwmI2J/ItWTJ0/Wv//9byO0QFdsEVoIeoLib6JpRWhA1LO/8BB08eLFQenTUTJHy5Z33nnH+N+MTrx37wllNRZBhaAmKCkHdk8addGbdiAIdoJ6QNBo+PDhpqE2Msfz58+7z1gEM4KaoHQ6oFwL/Sq9agcCXkcEl5s62KOi9F7CzEcq+Mknn5hhTwMqobNwDIKaoERu6SVEnnCgc1LorABBSWFQohbswLyllI1UDJFefGvmygz0+lgEFkFLUPKCa9euNWbdswRHmKKNiihUCOoB12Tbtm0mePbPf/7TNNS2802DD0FLUCKY1FAif3uWcQsegtKKJJQICtg18U3pFgFJEXJgMVgED4KSoDTyInJJQOTxCpT+gSATBMWXDTWCeoCvToUP1TH/+c9/TAO1x9RWFo5EUBKUxDyVHtxoz6qiwV9DkM6k7VAlqAeMp6CJGn47vimF4RbORtARFD8Kk416T28ofzwERTZHFDTUQQkeTdRo/8luiovQX/WVhf8QdAQ9deqU0aJisnkDdJCHoBRJhwNBAT476SXEHS+++KIpVr969epDM2u6g17B6IAt/I+gIyid+ljeGqNAQp8bFMKHC0E9QGjPWAtK2TB7exvrjytBQbslqf8RNARFNcRT/oMPPtCaNWvcR58d9M6FoKtWrQo7gnpAhQy5YCK9WCfdG2pjsTBOkXQWIggGQdnRFf5D0BCUmwJTFP9zoKqhnuAhKKQPV4ICAmTMohk6dKhRIUFGOiLSjhRBPkEl+iQdO3bMmLwW/kHQEJSyMAIbdEvwJroT1KYeuvLC5EtJYTERjpI22q1g4pKOsmaufxEUBEUjC4Go+SRv6U3Q4BqCokqyBO0CQSQmvA0aNEh//vOf9fzzz+vdd981HRMt/IugICj5Oswr5Gre1pSSGySaSScGS9Au8ECkw8SIESP0wgsv6LnnnjP9kKj8eRbVlkX/4XiC4hfSPYBIoy/GIjAxG4KyY1iCdgXjkFFSwsc1QX1EE3CEIRzDT7XXyX9wPEEJShC0YCKYL4ITEJRuBARF7LiFLoti9OjRpn0MLgVBuaysLONa0J8XUxeRiB3r7x84hqCYrpAFjW338jHaTHJTVFVVme+9DUvQh4EZi7+/Y8cO41Z0H91IKRtBuk8//dR8Jsgjyz3d+y18AscQFL8nISHBVKhQgE3QhhIwIog9durzEvBvIShmtCVoF/AzuS6Qsye3gpGNDDxG3MDXtLS0XlVIFs8GxxCUTnUMDGLHpNiY6OFPf/pTE0HkOJI8NKPeDhKRiCfXx9+wBO0f8FWpN6VpGWoj27TM+3AMQWn4hWLlj3/8o8m9oWgZMmSIfv3rX2vw4MFG5UJJGE9vb44/yMnJMQTlBrM5vv6BhyVNyzB1X3rpJX3xxRfmgWeVRt6DYwhKAIhdlIAEkUJmZf7kJz8xOygyNKR4mL7ff/+9V80pS9BnB1VFR48eNUElHqYUvwd7fyenwDEE7Q4E7Pg3qFkgJjWMqIiIHhLU8WYn9ezsbNO2E3/LEvTZQLcGqoLImZKeOXz4sPuMxUDhOIISoMBkYldDdkZXuri4OEMiAjl0B/AmEIqTSqB/jyXos4OHJxUyyATJXaPhxTKyGBgcR1CihuyeW7ZscR/5EZhN3s6FeghKqZUlqPdA+gU1EvEETN/9+/dbgcMA4CiC8gGSj8SkxZT1B/B5ISgpHhvc8D64vlTIQFQi9FTIWPQdjiIolSX4L4wv8Jfmk966lqC+AxF33BIevDTUJs8Naa210jc4hqB8YPiaBIa8We/5NGRkZJhkO8oZS1DfAesId2LChAkmQs+oDV+pw0IJjiEoHx5RWoI1/iSKh6CJiYmWoH4AJi5SQqK8yAX37NnjPmPRExxBUDr1Ie1DkeJvbScERRhup4L5F+itEaPg0lAMbhtq9wxHEBT1CSIEWl/6W9NJVYYlaGCAwIGhVTyY0Vyzm4Z6b+L+IuAEJYjAdGt6tAaiMoLRCBCU8YWWoIEBJW7kTV9++WXzkGY39bbmOlgRcIISECJPBkkDAepNp0yZYpLrlqCBA7spQUKKwvFPEeKHcxM3DwJOUHS2VK9QhxgIeAianJxsCRpgEKQj/41PyuhE0l+MTgxnBJSgNJ8eNmyYCbkHCunp6YagKSkptp2kQwAp0UYjFXz77bdNjtqb+utgQsAISjAIzS0lZoEc4kMVBp3qLUGdBz4b7g9y4zxE8VXDDQEjKE9JajxpTBXIp6OHoHQMtAR1HhA4kIKj/QqBJPLk4SRwCAhBPaohhAmUewUStOuAoPv27bMEdTCIUdBZ8NVXX9WCBQvMVLpwaLMSEIJSRobZQgVJoAMzzBqlkzrVFpagzga7Ka4Iwntyp1g9oV4Y7neCQkhkdTj/PAUDDQ9BDxw4YJsyBwH4jMiTMoYC8T0CF4ZqhSr8TlACQvRdpa2JE5p0UfUPQWmlYgkaPKioqDAtQEeOHGnqh4llhGKFjF8JimoIYmKiFBcXu48GFocOHTLTu9CGWoIGH5CJUuyA8J5KmVBrqO1XgtJriN0K/aVTyOAhKF8tQYMTFFvQ9I0WoNSb0hrHWwOeAw2/EpRG1FxAp+yeAEkZBMXUtc2XgxvcV+iqqTdlliwZgmAvIfQbQek1RNIZGZeTAEEJNFiChgYgJPEEJrHjm5IpoPFcsMJvBEXOhyjeCZHb7sD35MFhxxeEDjB5GfiMUo3dlKAkkwmCEX4hKMoPTFsSzE7TVPK0haAoiixBQwt37txRamqqaUJHYHLZsmVB11nQ5wT1dEtg96RBl9NA/hOCIprnvVqEHghO4pO+8847hqzkvoMFPicoRdi0taDlohN3KA9BKTuzBA1dkOJjxiwKNpoDxMTEmHlATodPCYpqiG55DOCl948T4SEonRUsQUMfCBxwtejeQHCQ+9LJZq9PCYrAmabFdIl36kVAJE/BOAluS9DwAJpr3C3qTSEqoyeJk3hzap634DOCYs7SBIoyobNnz7qPOg8egvKBWYKGDyAjeVNagL7++usmiEne1GlBTJ8RFMec8iAugJM7tVERAUHpdm4bVYUfuDeJ5CMTpB/SokWLHFVv6jOC0rKCRLHTZ3F4CErjbEvQ8AUVMUxiw+z99NNPTY8qJ8AnBKXeE8kVDcGc3oiLPJklqIUHBA2HDx9uyiGZ6I7gIZDwCUHpbUozsIDtnp33db+5QfUNDbrrekA03W1QQ32jGnvQwlMATI4W/8MS1ALQAhTdOAEkut9TSBGownCvE5ReQ4jPaZn4KDrbKlVVdlV51xrU1NIpn8XM2u+qruCE9u1K0bEr+crNOa5jh0/qcs3jf9Nj4lK2ZAkaRuhoV1trq1rb2nW/vc317xa1tv94d1CrjJmLX/riiy+aSe8lJSV+v0e8TlD0j1988UWP8z2b83coIXKiJkQdVdaNNvksZtp5T7VX07R64gxtOZGlPQe/195dB1XYbQclikfEjkgzwSwKycO1tWP4wUXExmJdOXlEaRkndTL3jLKPZuhscZOa3fyjgyDpF6L8fEUqiAAfFZI/7xOvEpSqAVQadF/DvEUL2R3t+Vu0I2qCxkRf0pXqDvnuv9mptjtFOhczSZGxqzRna6aOniiTp+NQZWWl8TVovcLuSWCAB4oT82AWPkJ7pS7FL1DUwmn6Kjpea1cn63RZs9pct0D+lTwzq4fcOOlCKmRQmlEYTtMyvvqr3tRrBOWpwpMGWR/RMHw6zEd2qPLyiq4fKk3Skfjlmpd878GTymfoaFHH1VgtmThek6KPKs/lQtxvaVFO9knjd1JeRu6T3jYEBcjVhjpBCdhhKfBwysnJMe5IOJv1rcXJips2TG99PE/Lj5TprvvjT0rabWb1PFpLiolLfIXCcO4ZHvC+lq96jaBMUabtBNFbSsqKioqMAJ32mvHxCSouLXf90D79sGWOxi2/qLzSZnUz+b0L83tdN16Hy0yZs0Jxe3JV2tak3DOntXnTJlNa5ulfgwmDiQtBQ93ExaLxpBIo/+MhFZ5dJFw3SEOJLmYmKXbhOI0fPUZjI/fpZHG9ml2nErfHm4dYb6DyCSsRk5dMhS+FOF4hKB8yDjVqDN58d/CESUjYrqSU/aovOaRzhzZoUfQPOn65Vvd8xYe2e2qpvKL8ggylpl1Usct0uVaYb9pisIN03zUYmoTPzPj9UCco0Ul6ABP44MYK3276rs+5Kke7V3znengnau8P6zR9zFzFZlWoznUqJWmnKeR/EggirVu3Tq+88oohK9ZidXW1+2w3tDWovuqGCotuuDat68q/cUsNzX2PvniFoPibJHcRJ/T2gUPgrJNdDZ1am1vY33yHDtdFufi9kvdm6lRZ1/s559o9qWZ4FJ48qD/H7gcKPCwhKH4UOyjuhw2MudHxozmH/0lqpS+gUwiie64pAdLS0tJuG0Cbas59r5QNyxW9cbM2ro/RnG/jlVFQ1ecAaR8J2unyzzrMh/lguf8/vBmeHrxBKgO4CR5d+Ha07E9J3af7rvuhs6Pd6F57+lmvrJZmNddVq+pWreqbW10PjXs64jLnICjnu/9tWjdScU/UDkvgwe8IwcVTn5zvkCFDFBERYYoYkLpxjmsSVosb8VGQP3ed47qwofT4OvfykBAuQEoGPKE7f+2117T/AB0iXRvDvRPaFrNSEcsOqbi6RrduFiojPlHHC4p1y7z66egbQVtvKj8tTsu/jVbszt1KTd6q2OQMnS29rzt1dzR/3jz94he/MCPjUGC8+eabDy0CR3/4wx/0pz/9yfz7LdfPmK+uxc/3tiiwHdB69z29P3SYhg37UEM/eM/8rsGDB5v3x3lqAlk4+88//7x++ctfGlOF73tb+Bt9XVTw9HXhD/a2EHv0tpih2dvC1ehp8bpf/epX+tnPfqbf/va35v/O3yHy/rRFUKS3RTlhb2vEiBFPXVhf/VmMDOlpYWo+adFDt7c1atSoB4t7gcX77368++KhzmIyODsof/93v/udnnvuOf3mf/9PMdErVJs+XUuXxGjmjho3kaT2O9Wqa25WX/V1fSNoe6lOJy3XuGFTtTU9UxcvpyhqZpRWbzul4uZGnTh+3IjiMZtoqcnXRxftJlBn9HRuoKu3v8V69NzSpUuNdMt87zoXuSxaMatXa+3qGK1atVrRMdFasTRSkUt+fM1AF4Jrz+rv+Sed636+p3Os7q/vvrj2kZGR+v3vf69BgwYZPxStNFFsrk1Pr+m+nvS7B3rO14uAWPf1pPPdj3OdOEbdaE+vYz36Oq6hhwNTp81QSnKSGjOmK2JelKZu675funZg1+7b+qNF/UT00cRtVEFGohaMmq4dJzJ1LnuTZk5eqMWbTytoZyDXFSr/fK5yL11T0bWrKrh6Uw9nbUMTtPygkRb+UnR0tOO10r4ErldPywP+/ZBb18PC1O2+ur9ed7OUuGy2Jn21UklHTyo7O0uZ6Tm6XFGvRu8StElXM7dr7vDPtcLlS+7YsEATJy3WyuQrQXpTt6k2J0qzJk7SF7PjlLIrTrHr1mr9gSsqbgjtxmGYqy+88ILZUdkhnFwKGAq4cyZJCZHTNW3JGn23fqM27TyhCxV3+xwk7RtBO2/rwqHNmv7pbO29UqSq6hLtmjZNCyM3K6OPTwJnoV2dFVu0ZPEaRW0tVntbnSoupmjB2Agl5hQqlOdlsYNSoEwjN8yxUJ8OFnB03ld7U61u36pQ5e1GNbfeV0f3XfYp6BtB264qM3amhr02Qgs2xWl38ibNmxyhFfEndNP9I8GFdqk63uUXb1L0ji6VU2v5RcWNHKGog6eUb46EJlDIEKWkTyxqIjty0dnoG0E77urOzTzlZp9V3rVCFRXl6/KVG7pZ3eTbfKbPAEG3dRF0exdBm8vOaP0nIxV9OFfO7/U2cDQ0NDxIrZBWeshnsnAc+uiDhhg6W9Vwap7GfzZGw6fs1LHDqdq9KUrTZm9T2tXbLo/bwsIZCFOCtqv+cpK2rVurmC37dfTgHqXu3qmUs9WqtRafhYMQngS1sAgSWIJaWDgYlqAWFg6GJaiFhYNhCWph4WBYglpYOBiWoBYWDoYlqIWFYyH9P83EPpeTK6fIAAAAAElFTkSuQmCC)
maths-General
maths-
In the following triangle the value of x is
![](data:image/png;base64,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)
In the following triangle the value of x is
![](data:image/png;base64,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)
maths-General
maths-
In
and
If AC = 75 cm AB = 100 cm and BD = 125 cm then AD =
![](data:image/png;base64,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)
In
and
If AC = 75 cm AB = 100 cm and BD = 125 cm then AD =
![](data:image/png;base64,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)
maths-General
maths-
In the figure
and AB = 5cm The value of DC is
![](data:image/png;base64,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)
In the figure
and AB = 5cm The value of DC is
![](data:image/png;base64,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)
maths-General
physics-
One dyne =
One dyne =
physics-General