document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006809>Question 1006809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that P(1,2), Q(-11,2) and R(-5,6) are vertices of an isosceles triangle.<BR>\n" );
document.write( "Find the Lengths of all three sides<BR>\n" );
document.write( "PQ=<BR>\n" );
document.write( "QR=<BR>\n" );
document.write( "PR=\r<BR>\n" );
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document.write( "Please help I have no Idea where to start... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622870 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=622870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the distance formula to calculate the distance between each pair of points. \r<BR>\n" );
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document.write( "Example: the distance between P and Q is equal to the length of side PQ.\r<BR>\n" );
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document.write( "The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can use this solver\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver\">http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver</a>\r<BR>\n" );
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document.write( "to calculate the three distances to get the side lengths\r<BR>\n" );
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document.write( "Using the solver, the segment lengths are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQ=12 ALIGN=MIDDLE  ALT=\"PQ=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=QR=2%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"QR=2%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PR=2%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"PR=2%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=QR+=+PR ALIGN=MIDDLE  ALT=\"QR+=+PR\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We have exactly 2 equal sides. So this triangle is definitely an isosceles triangle. </SPAN>\n" );
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