document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138788>Question 1138788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the largest possible area of an isosceles triangle if the length of each of the two equal sides is 10 m? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756575 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height bisects the angle between 10m sides<BR>\n" );
document.write( "Call these angles both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+ ALIGN=MIDDLE  ALT=\"+theta+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Acos%28+theta+%29+ ALIGN=MIDDLE  ALT=\"+10%2Acos%28+theta+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "one-half of the base is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Asin%28+theta+%29+ ALIGN=MIDDLE  ALT=\"+10%2Asin%28+theta+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%281%2F2%29%2A%28+10%2Asin%28theta%29+%29%2A10%2Acos%28theta%29+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%281%2F2%29%2A%28+10%2Asin%28theta%29+%29%2A10%2Acos%28theta%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+50%2Asin%28theta%29%2Acos%28theta%29+ ALIGN=MIDDLE  ALT=\"+A+=+50%2Asin%28theta%29%2Acos%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use trig identity<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+50%2Asin%28+2theta+%29 ALIGN=MIDDLE  ALT=\"+A+=+50%2Asin%28+2theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rate of change is the cos, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bprime%5D+=+50%2Acos%28+2theta+%29+ ALIGN=MIDDLE  ALT=\"+A%5Bprime%5D+=+50%2Acos%28+2theta+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Max is where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bprime%5D+=+0+ ALIGN=MIDDLE  ALT=\"+A%5Bprime%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50%2Acos%28+2theta+%29+=+0+ ALIGN=MIDDLE  ALT=\"+50%2Acos%28+2theta+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2theta+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+2theta+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+50%2Asin%28pi%2F2%29+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+50%2Asin%28pi%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+50+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m2<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "The angles are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F4+ ALIGN=MIDDLE  ALT=\"+pi%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F4+ ALIGN=MIDDLE  ALT=\"+pi%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "Get a 2nd opinion if needed. <BR>\n" );
document.write( "Check my math, too\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );