document.write( "Question 1140964: Please help me!
\n" ); document.write( "Triangle ABC is formed by the points A(2,0), B(4,-4) and C(-2,-2). Prove using a property of
\n" ); document.write( "linear relations that this is a right triangle.
\n" ); document.write( "

Algebra.Com's Answer #761507 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Look at the slopes of any two of the points and see if they are a negative reciprocal, which would mean perpendicular
\n" ); document.write( "AB has slope of -4/2
\n" ); document.write( "BC has slope of 2/-6 or -1/3
\n" ); document.write( "CA has slope of -2/-4 or +1/2
\n" ); document.write( "AB and CA have a negative reciprocal slope so perpendicular.\r
\n" ); document.write( "\n" ); document.write( "One can also use the distance formula for
\n" ); document.write( "AB sqrt(4+16)
\n" ); document.write( "BC sqrt (36+4)
\n" ); document.write( "CA sqrt (4+16)
\n" ); document.write( "sum of the sqrts is 20+20=40, and that is a right triangle as well.
\n" ); document.write( "
\n" );