document.write( "Question 527594: Please solve. Triangle ABC has vertices at the points A (-2,3), B (7,4), and C (5,22). What kind of triangle is ABC? Explain your answer. \n" ); document.write( "

Algebra.Com's Answer #348960 by Edwin McCravy(20060) $\"\"$ $\"About$

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A (-2,3), B (7,4), and C (5,22)
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document.write( "Let's draw the triangle to see what it looks like:\r\n" );
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document.write( "It looks as though angle B could be a right angle which would\r\n" );
document.write( "make triangle ABC a right triangle.  To find out, we find the\r\n" );
document.write( "slopes of AB and CB to see if they are opposite-signed reciprocals\r\n" );
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document.write( "To find the slope of AB\r\n" );
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document.write( "m =  =  =  =  =  =  = -9\r\n" );
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document.write( "Since the slopes   and -9 are opposite-sign reciprocals\r\n" );
document.write( "of each other, that is, their product is -1, the lines AB and CB are\r\n" );
document.write( "perpendicular, and that means that triangle ABC is a right triangle. \r\n" );
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document.write( "Edwin

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