document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138952>Question 138952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the shortest side of a right triange is tripled, with 4 added to the result, the result is the longest side. The medium side is 10 more than twice the shortest side. Find the length of the shortest side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101390 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Short side: a<BR>\n" );
document.write( "Longest side: c (the hypotenuse)<BR>\n" );
document.write( "Medium side: b\r<BR>\n" );
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document.write( "Since it is a right triangle:\r<BR>\n" );
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document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3a%2B4 ALIGN=MIDDLE  ALT=\"c=3a%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2a%2B10 ALIGN=MIDDLE  ALT=\"b=2a%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So:<BR>\n" );
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document.write( "Expand the binomials, collect like terms on the left, set the whole thing equal to zero, and then solve the quadratic.  Hint: the quadratic factors, but factor out a 4 before you start looking for the binomial factors.  Hint: One of your roots will be negative, exclude it because you are looking for a positive measure of length. </SPAN>\n" );
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