Overview of Right Triangles

Which of the following types of triangles can also be a right triangle? Indicate __all__ such types.
Correct! For example, you could have the following 30°-60°-90° right triangle that is scalene (no equal sides): ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApQAAAIfCAYAAADOuEwnAAAi4UlEQVR4nO3df2zV953v+ReOU9eci0NzsbtqfXcw3X+uDdoNahP4yy6MVJEokVYyiKHSMFW2I7XdG3Wku9mNMupsq/7QVleabDRppeaiDNE2iwLSqskENCPB2PsPJL2CXQHevyamku9c1aYN4Dm4bl17/zB2IUBi+Nh8z7Efj7/COcfHb1tt8uT9Pd/vd93c3Fxu+F+T/FmSPwoAANzdL5L8beb7MetuBOXfJjlY1UQAADSlw0n+rDXzZSkmAQC4VweTXFo3Nzd3KQ5zAwBwf36xbu6mD1ECAMC9aql6AAAAmpugBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKCIoAQAoIigBACgiKAEAKBIa9UDNKrfz86l/rvfVz0GANAgag8/lIda1lU9RkMSlHcxMzuX+m9/n0885H84ALDW/fb3c2l7qEVQ3oWg/Agt65L2hx+qegwAoGIzszNVj9DQfIYSAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCkjXhO0f/c/6//zxV9RgAsCoJSla9UxeuZWTsN/nusf+S+vRs1eMAwKojKFn1/quNDydJfj87lxNnr1Q7DACsQoKSNeX4uau2lACwzAQla8bDD63L9elZW0oAWGaCkjXjM4/OH/q2pQSA5SUoWTNqbQ+lt7s916dn8/rQ5arHAYBVQ1Cypgzu/FSSZHhkMhPXZiqeBgBWB0HJmtLb3Z7e7vYkybHTv654GgBYHQQla44tJQAsL0HJmtPb3Z7Pf66WxJYSAJaDoGRNOjiwKcn8lvLSxHTF0wBAcxOUrEmdHa3p792QJHl96FcVTwMAzU1QsmYN7nw0STIyNpWRsamKpwGA5iUoWbNu3lIeO/1BxdMAQPMSlKxptpQAUE5QsqZ1drRmcMf8ZYRsKQHg/ghK1rw92zdmfVtLRsamMnxxsupxAKDpCErWvFpbS5587JEkydEzrksJAPdKUEL+sKW8fG3GlhIA7pGghNhSAkAJQQk37Nm+MZs6Wm0pAeAeCUq4odbWkr075i8jdHj4curTsxVPBADNQVDCTfr7NmRTR2uuT8/mxNkrVY8DAE1BUMKHLGwpj5+7aksJAEsgKOFDbCkB4N4ISriDgwObkthSAsBSCEq4gy98rpbe7vZcn57NsdMuIwQAH0VQwl0M7py/x/eJc1czcW2m4mkAoHEJSriL3u729Ha3J4ktJQB8BEEJH2FhSzk8MmlLCQB3ISjhI9hSAsDHE5TwMb72pa4k81vKSxPTFU8DAI1HUMLH6OxoTX/vhiTJ60O/qngaAGg8ghKWYHDn/N1zRsamMjI2VfE0ANBYBCUswc1bymOnP6h4GgBoLIISlsiWEgDuTFDCEnV2tGZwx/xlhGwpAeAPBCXcgz3bN2Z9W0tGxqYyfHGy6nEAoCEISrgHtbaWPPnYI0mSo2dclxIAEkEJ92xhS3n52owtJQBEUMI9s6UEgFsJSrgPe7ZvzKaOVltKAIighPtSa2vJ3h3zlxE6PHw59enZiicCgOoISrhP/X0bsqmjNdenZ3Pi7JWqxwGAyghKKLCwpTx+7qotJQBrlqCEAraUACAoodjBgU1JbCkBWLsEJRT6wudq6e1uz/Xp2Rw77TJCAKw9ghKWweDO+Xt8nzh3NRPXZiqeBgAeLEEJy6C3uz293e1JYksJwJojKGGZLGwph0cmbSkBWFMEJSwTW0oA1ipBCcvoa1/qSjK/pbw0MV3xNADwYAhKWEadHa3p792QJHl96FcVTwMAD4aghGU2uHP+7jkjY1MZGZuqeBoAWHmCEpbZzVvKY6c/qHgaAFh5ghJWgC0lAGuJoIQV0NnRmsEd85cRsqUEYLUTlLBC9mzfmPVtLRkZm8rP/6le9TgAsGIEJayQWltLnnzskSTJ4aHLFU8DACtHUMIKWthSXr42k+GLk1WPAwArQlDCCrp5S3n0jLvnALA6CUpYYbaUAKx2ghJWWK2tJQf7NyWZ31LWp2crnggAlpeghAegv29DNnW05vK1mZw4e6XqcQBgWQlKeED27pi/2Pnxc1dtKQFYVQQlLLN6/c7XnFzYUl6fnrWlBGBVaa16AFgt3jjyZk6eGkq9Xs+2rX35k/37sqVn8y2v2bvj0fz4H8Zz/NzV7Nm+MbU2f6cDoPkJSkhy/sLFnHn3vZw8NbT42IejcHx8Im8ceTNn3n3vtuffevudvPX2O9m9ayBbenryxpE38x8PvZbvf/fbt3yf/r4NGR6ZzMjYVE6cvbJ4z28AaGbWI5BkdPTSLTGZzEfmSy//zeKfXz302mJM3vx8vV7Pv9w4zL171xeze9dAtm3ty/ujl+54+Htw5417fJ/5IBPXZlbgpwGAB0tQQpJnnn4qB/bvy6Gf/ChHfno4u3cNJJnfSibJ+6OXcv7CxSTJgf378uILzy8+f+bdn9/T9+rtbk9vd3uS5NhpFzsHoPkJSrjhmaefSq1WS71ez+jopSTzh7WT5MKNmEySnp7Nt3w28v3R0Xy6qytJcvLUP+bkqaGcv3AxW3o2p1ar3fF7LWwph0cmbSkBaHo+Qwk3nL9wMd/7wQ8X/7x710AO7N932+s+3dV1SyjW69eze9dAfjk+npOnhnLy1NDi5yvvZmFLOTI2lWOnf52vfalreX8YAHiABCXcxclTQ6nVaneMyjs5sH9fDuzfl3q9ftfN5M3+dOBf53/5P8YyPDKZwZ2PprPD/x0BaE4OecMN27b25chPD+fITw8vHup+6+13cubd924JxF+Oj9/ydbXa+g/9+eNjMkk2d7alv3dDkuTHfz/+Ma8GgMYlKCHz28iFE3CS26Ow56bPTI7edIJOksXPT96PhcsGjYxNZWRs6r7fBwCq5BgbJDnz7nt59dBrtz3e1dWZbVv7UqvVsm1rX85fuJg3jry5+HytVls8I/x+dHa0pr93/tqUx05/kG/tbb/v9wKAqthQQpIdTzx+22PPPP1U/vKF/3lxW/nN575xy+u29GzOiy88v+RD3HdjSwlAs1s3Nzc3V/UQjWh6ZjZXfvO7bGizxG12I2NT+c7Rf05vd3u+tfczVY9zR4eHLufEuasNPSPAWjY5PZONn3w4ba12cXfitwINYHDno1nf1pKRsan8/J9uv7sOADQyQQkNoNbWkicfeyTJ/LYSAJqJoIQGsWf7xqxva8nlazMZvjhZ9TgAsGSCEhrEzVvKo2fc4xuA5iEooYHYUgLQjAQlNJBaW0sO9m9KMr+lrE/PVjwRAHw8QQkNpr9vQzZ1tObytZmcOHul6nEA4GMJSmhAe3fMX+z8+LmrtpQANDxBCQ1oYUt5fXrWlhKAhicooUHZUgLQLAQlNKj+vg3p7W63pQSg4QlKaGCDOz+VJDl25oNMXJupeBoAuDNBCQ2st7s9vd3tSZJjp13sHIDGJCihwS1sKYdHJm0pAWhIghIanC0lAI1OUEIT+NOBf53ElhKAxiQooQls7mxLf++GJMmP/3684mkA4FaCEprE4M7561KOjE1lZGyq4mkA4A8EJTSJzo7WxS3lsdMfVDwNAPyBoIQmYksJQCMSlNBEOjtas+exR5LYUgLQOAQlNJnBnY9mfVtLRsam8vN/qlc9DgAISmg2tbaWPHljS3l46HLF0wCAoISmtGf7xqxva8nlazMZvjhZ9TgArHGCEprQzVvKo2fcPQeAaglKaFK2lAA0CkEJTarW1pKD/ZuS2FICUC1BCU2sv29DNnW05vK1mRw7LSoBqEZr1QMAZfbueDQ//ofxHD93NXu2b0ytbWl/Tzx5aignT/1j3h+9lCTp6urMgf37suOJx1dwWgBWIxtKaHILW8rr07M5cfbKkr7mrbffyauHXluMySQZH5/ISy+/kvMXLq7MoACsWjaUsArc65bymaefyvkLF7Nta1+eefqpnDw1lFcPvZYkGR29lG1b+277mvHxifzs7b/LyVNDi48d2L8vzzz9VF499FpOnhrKM08/lX9Vq+WNI28mSbZt7cuf7N+Xt95+J2fefS9JsnvXQL767FeW6ScHoBEISlgF+vs25Pi5K/nFxG9z4uyVxXt+f5QXX3j+jo93dXXe9li9Xs93f/C/ZXx84pbH/6V+65163nr7nVv+fP7CxZz/y7+65bGTp4aypacnu3cNfOyMADQHh7xhlTg4MH/G9/FzVzNxbWbJX7eweUySWq12x+3kyVNDizF5YP++HPnp4Xz/u9/OH+/64m2vPbB/Xw795Eep1WqLj33/u9++JWDfHx1d8nwAND5BCatEb3d7ervbc316dslnfNfr9bz08t8sxuJXn/2zW0JwwS/Hxxf/eWGzuKVn8x23mTueeDy1Wi212vok8xvPLT2b8+murnv9kQBoEoISVpHBnZ9KkgyPTC5pS/nSy68snpjz1We/4gxvAO6LoIRVZGFLmeRjt5Tf+8EPF8/o/uZz3/jIzzTevF1cOClnfHxi8UQbANY2QQmrzFK2lG8cefOWywO99PIr2f/lg9n/5YOLZ3vfbOEw9sLX7v/ywTz3F//eJYYASCIoYdXp7W5Pf++GJMnhoct3fE39Q2dnf5yurs68+MLzt5ywc7cTeABYe9bNzc3NVT1EI5qemc2V3/wuG9pcWanZjYxN5TtH/zm93e351t7PVD3OAzFxbSb/7tAvkiTf2vuZxcPgANyfyemZbPzkw2lrtYu7E78VWIU6O1oXt5THTn9Q8TQArHaCElaphYubj4xNZWRsquJpAFjNBCWsUraUADwoghJWsT8d2JT1bS22lACsKEEJq1itrSVPPvZIkuRHfz/+Ma8GgPsjKGGV27N9Y9a3teTytZkMX5ysehwAViFBCavczVvKo2eWdo9vALgXghLWAFtKAFaSoIQ1oNbWksEd85cRsqUEYLkJSlgjntz+SDZ1tObytZkcOy0qAVg+gpJ79txf/Ps8++dfr3oM7sPeG1vK4+eupj49W/E0AKwWgpJ7cv7CxYyPT2T3roGqR+E+9PdtyKaO1lyfns2Js1eqHgeAVaK16gFoLmfefS9J8m+6P5u33n4nbxx5c/G5rq7OHNi/LzueeLyq8ViCvTsezY//YTzHz13Nnu0bU2vz90oAyvgvCffkzLs/T1dXZz772c/eEpNJMj4+kZdefiXj4xMVTcdS9PdtyB91fsKWEoBlY0PJkp15973U6/Xs3jWQLT2b883nvpGurq5s6dmck6eG8uqh15IkvxwfT1dX5x3f48NbzR1PPJ6vPvtneePImzl5aijPPP1U/lWttviabVv78if79+Wtt99Z3I7u3jWQrz77lRX+aVe3gwOb8p2j/5zj566mv68jnR3+VQDA/fNfEe7o5vA79JMfpVar5cy7P0+SxUPaNx/afn90NElSq9WypWfzHd/zpZdfWYzCBePj46nVard835udv3Ax5//yr2557OSpoWzp6fE5zgK93e3p7W7PyNhUjp3+db72pa6qRwKgiQlKPtb5CxezbWtfzl+4mC09m28Jxv1fPrj4zwvbxJsDccH7o5cWY3LHE4/nm899I/V6Pe+PXrrttQf278vuXQN57i/+p9Tr9STJ97/77dTr9XzvBz+88X6j2Z2B5fsh16DBnZ/Kd45OZXhkMoM7H7WlBOC++Qwld/TM00/l0E9+lGT+c5Nn3v156vX6R55wc/7CxfyfR95cjMCbjd4Ujjue+EKS+W3mtq19t712xxOPp1arpVZbn2T+ZJ8tPZvz6S5btOW0sKVM4rqUABQRlNzVQvCdv3Bxcbu49UMBeOSnh3Pkp4dzYP++JPNR+bMPHbamcQ3u/FSSZHhkMhPXZiqeBoBmJSj5SDueeDz1ev22w93nL1zM+QsXl/w+PTcdJl/4LGZy+2cmebB6u9vT37shSXJ46HLF0wDQrHxoio+044kvLJ69ffPh7tHRS7ddNugPX3P7YfGFGF34LOX+L89vPLu6OvPM00+twOQs1eDORzM8Mpn/9E/1jIxNLR4GB4ClsqHkI9VqtTue1d3Ts/m2SwPteOLxvPjC83c9y/vFF56/7czsP971xWWdl3vX2dG6uKU8dvqDiqcBoBmtm5ubm6t6iEY0PTObK7/5XTa0WeI2u5GxqXzn6D+nt7s939r7marHaUgT12by7w79Iknyrb2fsaUE+JDJ6Zls/OTDaWu1i7sTvxXAlhKAIoISSJL86cCmrG9rycjYVEbGpqoeB4AmIiiBJEmtrSVPPvZIkuRHfz9e8TQANBNBCSzas31j1re15PK1mQxfnKx6HACahKAEFt28pTx6xt1zAFgaQQncwpYSgHslKIFb1NpaMrjj0SS2lAAsjaAEbvPk9keyqaM1l6/N5NhpUQnARxOUwB3tvbGlPH7uaurTsxVPA0AjE5TAHfX3bcimjtZcn57NibNXqh4HgAYmKIG7sqUEYCkEJXBX/X0b8kedn7ClBOAjCUrgIx0c2JTElhKAuxOUwEfq7W5Pb3d7rk/P5vWhy1WPA0ADEpTAxxrc+akkyfDIZCauzVQ8DQCNRlACH2thS5nEdSkBuI2gBJbElhKAuxGUwJL0drfn85+rJbGlBOBWghJYsoUzvodHJjMyNlXxNAA0CkEJLFlnR2v6ezckSY6d/qDiaQBoFIISuCeDO+fvnjMyNmVLCUASQQncI1tKAD5MUAL3bHDno1nf1mJLCUASQQnch86O1jz52CNJksPungOw5glK4L7s2b4x69ta8ouJ32b44mTV4wBQIUEJ3JdaW8vilvLoGdelBFjLBCVw3xa2lJevzdhSAqxhghK4b7aUACSCEig0uPPRbOpozeVrMzl+9mrV4wBQAUEJFNu7Y/5i58fO/Dr16dmKpwHgQROUQLH+vg3Z1NGa69OzOXH2StXjAPCACUpgWSxsKY+fu2pLCbDGCEpgWdhSAqxdghJYNl//UlcSW0qAtUZQAsumt7s9vd3tuT49m9fdkhFgzRCUwLIa3PmpJMnwyGQmrs1UPA0AD4KgBJbVwpYySY6ddrFzgLVAUALLzpYSYG0RlMCy6+1uz+c/V0tiSwmwFghKYEUcHNiUZH5LOTI2VfE0AKwkQQmsiM6O1vT3bkiSHDv9QcXTALCSBCWwYgZ3zt89Z2RsypYSYBUTlMCKsaUEWBsEJbCiBnc+mvVtLbaUAKuYoARWVGdHa5587JEkyWF3zwFYlQQlsOL2bN+Y9W0t+cXEbzN8cbLqcQBYZoISWHG1tpbFLeXRM65LCbDaCErggVjYUl6+NmNLCbDKCErggbClBFi9BCXwwAzufDSbOlpz+dpMjp+9WvU4ACwTQQk8UHt3zF/s/NiZX6c+PVvxNAAsB0EJPFD9fRuyqaM116dnc+LslarHAWAZCErggVvYUh4/d9WWEmAVEJTAA2dLCbC6CEqgEl//UlcSW0qA1UBQApXo7W5Pb3d7rk/P5nW3ZARoaoISqMzgzk8lSYZHJjNxbabiaQC4X4ISqMzCljJJjp12sXOAZiUogUrZUgI0P0EJVKq3uz2f/1wtiS0lQLMSlEDlDg5sSjK/pbw0MV3xNADcK0EJVK6zozX9vRuSJK8P/ariaQC4V4ISaAiDO+fvnjMyNpWRsamKpwHgXghKoCHcvKU8dvqDiqcB4F4ISqBh2FICNCdBCTSMzo7WDO6Yv4yQLSVA8xCUQEPZs31j1re1ZGRsKsMXJ6seB4AlEJRAQ6m1teTJxx5Jkhw947qUAM1AUAINZ2FLefnajC0lQBMQlEDDsaUEaC6CEmhIe7ZvzKaOVltKgCYgKIGGVGtryd4d85cROjx8OfXp2YonAuBuBCXQsPr7NmRTR2uuT8/mxNkrVY8DwF0ISqChLWwpj5+7aksJ0KAEJdDQbCkBGp+gBBrewYFNSWwpARqVoAQa3hc+V0tvd3uuT8/m2GmXEQJoNIISaAqDO+fv8X3i3NVMXJupeBoAbiYogabQ292e3u72JLGlBGgwghJoGgtbyuGRSVtKgAbSWvUA8MBcuZzW4XdX7O1n+v/7FXtv5i1sKUfGpnLs9K/ztS91VT0SALGhZC35/W9X7K0f+r//rxV7b261EJHDI5O5NDFd8TQAJDaUrCW1jZnp//yKvLWgfHA6O1rT37shwyOTeX3oV/nW3s9UPRLAmmdDCTSdwZ3zd88ZGZvKyNhUxdMAICiBprOwpUySY6c/qHgaAAQl0BDq9fo9vd6WEqBxCEqgUm8ceTPP/vnX8+yffz3f+8EP8/7opSV9XWdHawZ3zF9GyJYSoFpOygGKnXn3vZw8NZTzFy4mSbq6OvPyX/+HJMn4+ETeOPJmzrz7XpJk29a+/Mn+fdnSszlvvf1O3nr7nezeNZAtPT1548ib+Y+HXsv3v/vtJX3fPds35vi5qxkZm8rwxcn0921YmR8QgI9kQwkUeePIm3np5VcWY/LDXj302mJMJsn5Cxfz0st/k3q9nn+5cZh7964vZveugWzb2pf3Ry8t+fB3ra0lTz72SJLk6Bl3zwGoig0lcN/eH72Ut95+J0lyYP++PPP0U7c9vxCaB/bvS0/P5nzvBz/M+PhEzrz782WZYWFLefnajC0lQEVsKIH7trB53PHE43l/9FL2f/lg9n/54OLjF27aWvb0bM6Wns2Lf35/dDSf7pq/SPnJU/+4eMh8S8/m1Gq1Jc9gSwlQPRtK4L6Nj08kyS2HtJPkpZdfyct/3XPLY5/u6rolFOv169m9ayC/HB/PyVNDOXlqaPHzlfdqz/aNGRqZtKUEqIigBO7bzZ91fPmv/0N+OT6e7/3gh0luj8y7ObB/Xw7s35d6vX5Pm8mb1dpasnfHo/nxP4zn8PDlfP6/qaXW5gAMwIPi37hAsVqtlq6uzsVD2Dc/vuCX4+Mfem79XV97P/r7NmRTR2uuT8/mxNkrRe8FwL0RlMB967nxmch6vZ7zFy7m/dHROz6fJKM3naCT5Lb4XA57d8xf7Pz4uaupT88u+/sDcGcOeQP37Y93fTEnTw2lXq8vHupO5q9DuXvXQGq1WrZt7cv5CxfzxpE3F5+v1WrZvWtg2efp79uQo2d+ncvXZnLi7JXFu+kAsLJsKIH71tXVmRdfeD7btvYtPrZta1+++dz/uHgI+5vPfSM7nnh88fktPZvz4gvPFx/ivpuDA5uS2FICPEg2lECRhUC8m1qtlm8+940k33gg83zhc7X0drdnZGwqx07/ejEwAVg5NpTAqjO4c/4e3yfOXc3EtZmKpwFY/QQlsOr0drent7s9SXLstIudA6w0QQmsSgtbyuGRSVtKgBUmKIFVyZYS4MERlMCq9bUvzV/rcnhkMpcmpiueBmD1EpTAqtXZ0Zr+3vn7er8+9KuKpwFYvdbNzc3NVT1EI5qemc2V3/wuG9pcWanZnX3/en74s/9S9Rg0gL/a95n828+2Vz0G0IQmp2ey8ZMPp63VLu5O/FZY9f7Npk/kEw9VPQVV+0TruvzXm9qqHgNgVbKhvAsbSgBggQ3lR/NbAQCgiKAEAKCIoAQAoIgPCEIDOvPue3np5VeSJLt3DeSrz36l4okA4O4EJTSYN468mbfefqfqMQBgyQQlNIh6vZ6XXn4l5y9cvKevO3lqKD97++8yPj6RJNnSszn/w7Nfyejopbx66LVs6dmcZ55+Kq8e+tvU6/V0dXXmqzeef+PIm0mSbVv78tVnv5Kurs5l/7kAWP18hhIaRK1WS0/P5iTJgf37lvQ1b739Tl499NpiTCbJ+6OX8umbwvD90Ut56eVXUq/XkyTj4xP53g9+uBiTSXL+wsX87O2/W4afAoC1SFBCAzmwf19efOH57N41sKTX/+zGofGurs4c+smPcuSnh/PN576RWq12y+t2PPF4jvz0cLZt7bvlex36yY8WX3uvm1EAWCAoocFs29qXev36x75ufHxiceu444nHF8NwxxOP3/E9k9xySHvha2q19csxNgBrmKAEAKCIoIQm1dXVubiVPPPue4vbypOnhhb/GQAeBGd5QxPbvWsgb739TsbHJ/Lsn3998fGbPysJACvNhhKa2IH9+247I3z+s5E+FwnAg7Nubm5uruohGtH0zGyu/OZ32dBmiQsAa93k9Ew2fvLhtLXaxd2J3woAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEUEJQAARQQlAABFBCUAAEVaqx6gkc3OJVO/+33VYwAAFZudq3qCxiYo76K1ZV3WP2yBCwDMd0Fry7qqx2hY6+bm5jQ3AAD3zQoOAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIoISAIAighIAgCKCEgCAIi1JrlY9BAAATetqS5KXqp4CAICm9dK6ubm5jUmGkvy31c4CAECT+X+TDLQkuZJkIMn/Hoe/AQD4eFcz344DSa6sm5ub+/AL/rskGx/oSAAANIsrSf6fmx/4/wEZ2By5M8bzSwAAAABJRU5ErkJggg== "")
Correct! Consider the following 45º-45º-90º isosceles triangle (two equal sides): ![](data:image/png;base64,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 "")
Incorrect. Note that an equilateral triangle has three equal sides and also three equal angles. Since the sum of the three angles must be 180º, each angle must measure 60º. Hence, there cannot be any angle that measures 90º. Thus, a right triangle cannot be equilateral.
Scalene
Isosceles
Equilateral
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