document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166041>Question 166041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the length of the shorter leg. Find the length of each leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122425 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> so we will call the shorter side  s and longer side is 2s+2 . Hypothenuse is 13\r<BR>\n" );
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document.write( "using the pathagorean theorem   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2B%282s%2B2%29%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"s%5E2%2B%282s%2B2%29%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied out we get 5s2+8x-165=0\r<BR>\n" );
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document.write( "factoring we get (5s+33)(s-5)=0 so s=5 and -33/5 throw out the negative value and s=5 meaning short side is 5 and longer side is 2(5)+2=12 </SPAN>\n" );
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