Algebra.Com's Answer #224408 by Edwin McCravy(20056)![\"\"](\"/images/stars/stars-13.gif\")  
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What type of triangle is represented by these vertices A,B, and C? A(0,0); B(-2,5); C (5,2)
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document.write( "Draw in these two right triangles (in green)\r\n" );
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document.write( "Those green right triangles are congruent because the legs\r\n" );
document.write( "of one are equal in length to the corresponding legs of the\r\n" );
document.write( "other. Also we know that the two acute angles of a right\r\n" );
document.write( "triangle are complementary. So at the origin those two angles\r\n" );
document.write( "of the green triangles make up 90°, and since the angle made\r\n" );
document.write( "by the x-axis with (0,0) as a vertex is a straight angle or 180°,\r\n" );
document.write( "the angle inside the given triangle is 90°. Therefore the given\r\n" );
document.write( "triangle is a right triangle.\r\n" );
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document.write( "Also since the two hypotenuses of the green triangle are equal in \r\n" );
document.write( "length, the two legs of the given triangle are equal in length,\r\n" );
document.write( "so the given triangle is also isosceles. \r\n" );
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document.write( "Therefore the given triangle is an isosceles right triangle and\r\n" );
document.write( "has two 45° angles and, of course, one 90° angle. \r\n" );
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document.write( "You only need to answer that it is a right triangle, but it's\r\n" );
document.write( "also isosceles.\r\n" );
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document.write( "Edwin \r
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