document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856882>Question 856882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A (1,6) , B (-1,4) , C (2,1) are the vertices of a traingle.Show by using distance formula that the triangle ABC is rightangled. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516182 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A (1,6) , B (-1,4) , C (2,1) are the vertices of a traingle.Show by using distance formula that the triangle ABC is rightangled.\r<BR>\n" );
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document.write( "AB ^2 = (6-4)^2+(1-(-1))^2\r<BR>\n" );
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document.write( "=2^2+2^2\r<BR>\n" );
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document.write( "8\r<BR>\n" );
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document.write( "BC = (4-1)^2+(-1-2)^2\r<BR>\n" );
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document.write( "=3^2+(-3)^2\r<BR>\n" );
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document.write( "=9+9<BR>\n" );
document.write( "=18\r<BR>\n" );
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document.write( "CA^2=(6-1)^2+(2-1)^2\r<BR>\n" );
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document.write( "=5^2+1^2\r<BR>\n" );
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document.write( "=25+1<BR>\n" );
document.write( "=26\r<BR>\n" );
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document.write( "8+18=26\r<BR>\n" );
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document.write( "AB^2+BC^2= AC^2\r<BR>\n" );
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document.write( "Hence it is a right triangle </SPAN>\n" );
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