document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672315>Question 672315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABC has vertices A(–2, 4), B(6, 0), and C(–4, 0). Is ABC a right triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417912 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=417912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st solution<BR>\n" );
document.write( "slope AB=(0-4)/(6+2)=-4/8=-1/2<BR>\n" );
document.write( "slope BC=0-0/-4-6=0<BR>\n" );
document.write( "slope CA=4-0/-2+4=4/2=2<BR>\n" );
document.write( "for ABC to be a right triangle slope any two sides should be -1<BR>\n" );
document.write( "slope AB*slope CA=-1<BR>\n" );
document.write( "so ABC is a right triangle with <A=90deg\r<BR>\n" );
document.write( "\n" );
document.write( "2nd solution<BR>\n" );
document.write( "|AB|^2=(-2-6)^2+(4-0)^2=80<BR>\n" );
document.write( "|BC|^2=(6+4)^2+(0)=100<BR>\n" );
document.write( "|CA|^2=(-2+4)^2+(4-0)^2=20<BR>\n" );
document.write( "|BC|^2=|AB|^2+|CA|^2<BR>\n" );
document.write( "so ABC is a right triangle with <A=90deg<BR>\n" );
document.write( "ans </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );