document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009174>Question 1009174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the point (6,6),(2,3) and (4,7) are the vertices of a right angled triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624700 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let\r<BR>\n" );
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document.write( "P = (6,6)<BR>\n" );
document.write( "Q = (2,3)<BR>\n" );
document.write( "R = (4,7)\r<BR>\n" );
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document.write( "Find the <a  rel=nofollow HREF= \"http://www.algebra.com/algebra/homework/Linear-equations/slope.solver\">slope</a> of segment PQ to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the <a  rel=nofollow HREF= \"http://www.algebra.com/algebra/homework/Linear-equations/slope.solver\">slope</a> of segment PR to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Find the <a  rel=nofollow HREF= \"http://www.algebra.com/algebra/homework/Linear-equations/slope.solver\">slope</a> of segment QR to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Multiply the slopes of PR and QR to get\r<BR>\n" );
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document.write( "(slope of PR)*(slope of QR) = (-1/2)*(2) = -1\r<BR>\n" );
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document.write( "Since the product of the two slopes is -1, this means that segment PR and segment QR are perpendicular. We have a right angle form at where the segments meet (at point R)\r<BR>\n" );
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document.write( "So we definitely have a right triangle. </SPAN>\n" );
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