document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074153>Question 1074153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One of the legs of a right triangle is twice as long as the other, and the perimeter of the<BR>\n" );
document.write( "triangle is 28. Find the lengths of all three sides, to three decimal places </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688886 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39631)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=688886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Legs, x and 2x<BR>\n" );
document.write( "longest side, r\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2x%2Br=28 ALIGN=MIDDLE  ALT=\"x%2B2x%2Br=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Br=28 ALIGN=MIDDLE  ALT=\"3x%2Br=28\"   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=5x%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2=r%5E2\"   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=5x%5E2=%2828-3x%29%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2=%2828-3x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2=28%5E2-6%2A28x%2B9x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2=28%5E2-6%2A28x%2B9x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=28%5E2-6%2A28x%2B4x%5E2 ALIGN=MIDDLE  ALT=\"0=28%5E2-6%2A28x%2B4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-42x%2B7%2A28=0 ALIGN=MIDDLE  ALT=\"x%5E2-42x%2B7%2A28=0\"   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=x=%2842%2B-+sqrt%28980%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2842%2B-+sqrt%28980%29%29%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=x=%2842%2B-+sqrt%2849%2A2%2A2%2A5%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2842%2B-+sqrt%2849%2A2%2A2%2A5%29%29%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=x=%2842%2B-+14sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2842%2B-+14sqrt%285%29%29%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=x=21%2B-+7%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"x=21%2B-+7%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The MINUS form:<BR>\n" );
document.write( "x is 5.348, 2x is 10.695, r is 11.956<BR>\n" );
document.write( "check:  5.348^2+10.695^2=11.956^2<BR>\n" );
document.write( "142.98 = 142.95\r<BR>\n" );
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document.write( "LEG: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=21-7sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=21-7sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Other LEG:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x=42-14%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%282x=42-14%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=28-%2821-7sqrt%285%29%29-%2842-14sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"r=28-%2821-7sqrt%285%29%29-%2842-14sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "HYPOTENUSE:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=-35%2B21%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=-35%2B21%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, about 11.957<BR>\n" );
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document.write( "The PLUS form:<BR>\n" );
document.write( "x is 36.6.... No.  This does not work. </SPAN>\n" );
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