document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=539462>Question 539462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of the leg of an isosceles triangle whose perimeter is 64 and altitude is 8.\r<BR>\n" );
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document.write( "P.S: Can you please explain how to solve this when giving the answer? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353578 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the length of the leg of an isosceles triangle whose perimeter is 64 and altitude is 8.<BR>\n" );
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document.write( "Let x = the length of one of the equal sides<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(64-2x) = the length of the 3rd side<BR>\n" );
document.write( "(32-x) = half the length of the 3rd side<BR>\n" );
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document.write( "Two right triangles are formed with the altitude, half the 3rd side and the one leg of the equal side will be the hypotenuse (x)<BR>\n" );
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document.write( "x^2 = 8^2 + (32-x)^2<BR>\n" );
document.write( "x^2 = 64 + 1024 - 64x + x^2<BR>\n" );
document.write( "x^2 = 1088 - 64x + x^2<BR>\n" );
document.write( "x^2 - x^2 + 64x = 1088<BR>\n" );
document.write( "64x = 1088<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1088%2F64 ALIGN=MIDDLE  ALT=\"1088%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 17 is the length of the equal sides<BR>\n" );
document.write( "then<BR>\n" );
document.write( "64 - 2(17) = 30 is the length of the 3rd side<BR>\n" );
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document.write( "Confirm this, find the altitude (a)<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2817%5E2+-+15%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2817%5E2+-+15%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 8\r<BR>\n" );
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document.write( " </SPAN>\n" );
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