document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133761>Question 1133761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the lengths of the two equal sides of an isosceles triangle are each x cm, find the length for the third side so that the triangle has maximum area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751022 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The area of any triangle is \r<BR>\n" );
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document.write( "Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Aa%2Ab%2Asin%28gamma%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Aa%2Ab%2Asin%28gamma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where a and b are any two sides and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=gamma ALIGN=MIDDLE  ALT=\"gamma\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the angle between them.\r<BR>\n" );
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document.write( "In given case, the sides are of the length of x centimeters, and the area is maximal when the anle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=gamma ALIGN=MIDDLE  ALT=\"gamma\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 90 degrees.\r<BR>\n" );
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document.write( "So, the area is maximal when the triangle is isosceles right angled triangle, and then the area is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area%5Bmax%5D ALIGN=MIDDLE  ALT=\"Area%5Bmax%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x2 ALIGN=MIDDLE  ALT=\"%281%2F2%29x2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Completed and solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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