document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113273>Question 113273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of one of the equal legs of an isosceles triangle is 8cm less than the length of the base. If the perimeter is 29cm, find the length of one of the equal legs. What I have so far is this, 4x+(2x-8)=29cm.\r<BR>\n" );
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document.write( "Thank you for you help,<BR>\n" );
document.write( "Barb Neely </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82425 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=82425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=length of base, y=length of equal legs\r<BR>\n" );
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document.write( "Since one of the equal legs is 8 cm less than four times the base the base, we get\r<BR>\n" );
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document.write( "Equal Leg: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x-8 ALIGN=MIDDLE  ALT=\"y=4x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now simply add the base to two equal legs like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2By=29 ALIGN=MIDDLE  ALT=\"x%2By%2By=29\"   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%2B2y=29 ALIGN=MIDDLE  ALT=\"x%2B2y=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%284x-8%29=29 ALIGN=MIDDLE  ALT=\"x%2B2%284x-8%29=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-8 ALIGN=MIDDLE  ALT=\"y=x-8\"   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%2B8x-16=29 ALIGN=MIDDLE  ALT=\"x%2B8x-16=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-16=29 ALIGN=MIDDLE  ALT=\"9x-16=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=29%2B16 ALIGN=MIDDLE  ALT=\"9x=29%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 16 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=45 ALIGN=MIDDLE  ALT=\"9x=45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2845%29%2F%289%29 ALIGN=MIDDLE  ALT=\"x=%2845%29%2F%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 9 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So this means the base is 5 cm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5-8=20-8=12 ALIGN=MIDDLE  ALT=\"4%2A5-8=20-8=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x-8 ALIGN=MIDDLE  ALT=\"y=4x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the equal leg's length.\r<BR>\n" );
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document.write( "So the equal legs are 12 cm each\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "The sum of the sides should be 29, so let's verify:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B12%2B12=29 ALIGN=MIDDLE  ALT=\"5%2B12%2B12=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the solved values into the perimeter formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29=29 ALIGN=MIDDLE  ALT=\"29=29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add. Since both sides are equal, our answer is verified.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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