document.write( "Question 993428: Show that the points A (-1,-1),B (-3,4), and C (4,1) are the vertices of a right triangle. \n" ); document.write( "
Algebra.Com's Answer #612706 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Using gradients:- \n" ); document.write( "AB = y2 - y1/x2 - x1 \n" ); document.write( "AB = 4-(-1)/-3-(-1) \n" ); document.write( "AB = 5/-2 \n" ); document.write( "AB = -5/2 \n" ); document.write( "BC = y2 - y1/x2 - x1 \n" ); document.write( "BC = 1 - 4/4-(-3) \n" ); document.write( "BC = -3/7 \n" ); document.write( "AC = y2 - y1/x2 - x1 \n" ); document.write( "AC = 1 -(-1)/4-(-1) \n" ); document.write( "AC = 2/5 \n" ); document.write( "Lines that are perpendicular \n" ); document.write( "to one another have gradients \n" ); document.write( "that multiply together to give -1 \n" ); document.write( "Side AB and side AC's gradients \n" ); document.write( "multiply together to give -1 \n" ); document.write( "-5/2 x 2/5 = -1 \n" ); document.write( "Right angle is at A \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |