document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=658963>Question 658963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One side of a triangle is half the longest side.the third side is 12 ft less then the longest side. The perimeter is 53 ft. Find all three sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #410566 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=410566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the longest side, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > second and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > third side\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "first use this: the third side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12ft ALIGN=MIDDLE  ALT=\"12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > less then the longest side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B12ft=c ALIGN=MIDDLE  ALT=\"b%2B12ft=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........1\r<BR>\n" );
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document.write( "then, one side of a triangle is half the longest side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2F2 ALIGN=MIDDLE  ALT=\"a=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >............2\r<BR>\n" );
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document.write( "The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=53ft ALIGN=MIDDLE  ALT=\"P=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >, means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb%2Bc=53ft ALIGN=MIDDLE  ALT=\"a%2Bb%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >........3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B12ft=c ALIGN=MIDDLE  ALT=\"b%2B12ft=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2F2 ALIGN=MIDDLE  ALT=\"a=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >............2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb%2Bc=53ft ALIGN=MIDDLE  ALT=\"a%2Bb%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >........3<BR>\n" );
document.write( "________________________________solve this system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb%2Bc=53ft ALIGN=MIDDLE  ALT=\"a%2Bb%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >........3...plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2F2 ALIGN=MIDDLE  ALT=\"a=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2%2Bb%2Bc=53ft ALIGN=MIDDLE  ALT=\"c%2F2%2Bb%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >......3a..go to 1 and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B12ft=c ALIGN=MIDDLE  ALT=\"b%2B12ft=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=c-12ft ALIGN=MIDDLE  ALT=\"b=c-12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........plug it in 3a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2%2B%28c-12ft%29%2Bc=53ft ALIGN=MIDDLE  ALT=\"c%2F2%2B%28c-12ft%29%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2%2Bc-12ft%2Bc=53ft ALIGN=MIDDLE  ALT=\"c%2F2%2Bc-12ft%2Bc=53ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2%2B2c=53ft%2B12ft ALIGN=MIDDLE  ALT=\"c%2F2%2B2c=53ft%2B12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2%2B2c=65ft ALIGN=MIDDLE  ALT=\"c%2F2%2B2c=65ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >........both sides multiply by <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c%2F2%2B2%2A2c=2%2A65ft ALIGN=MIDDLE  ALT=\"2c%2F2%2B2%2A2c=2%2A65ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2B4c=130ft ALIGN=MIDDLE  ALT=\"c%2B4c=130ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c=130ft ALIGN=MIDDLE  ALT=\"5c=130ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=130ft%2F5 ALIGN=MIDDLE  ALT=\"c=130ft%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=26ft%29 ALIGN=MIDDLE  ALT=\"highlight%28c=26ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=c-12ft ALIGN=MIDDLE  ALT=\"b=c-12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=26ft-12ft ALIGN=MIDDLE  ALT=\"b=26ft-12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=14ft%29 ALIGN=MIDDLE  ALT=\"highlight%28b=14ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and finally, go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2F2 ALIGN=MIDDLE  ALT=\"a=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....2 and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=26ft%2F2 ALIGN=MIDDLE  ALT=\"a=26ft%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=13ft%29 ALIGN=MIDDLE  ALT=\"highlight%28a=13ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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