document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039827>Question 1039827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you all beforehand for helping me out. I really appreciate your time and effort.\r<BR>\n" );
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document.write( "Find the area of triangle ABC if AB = BC = 12 and angle ABC = 120. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654568 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</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=654568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cut into two right triangles from point B to midpoint of AC.\r<BR>\n" );
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document.write( "Look at either of these right triangles.  BC is opposite a 90 degree angle, a base leg is opposite a 60 degree angle, and altitude of the isosceles is opposite the 30 degree angle.  SPECIAL RIGHT TRIANGLE.\r<BR>\n" );
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document.write( "Let 6 be the short leg of the special 30-60-90 right triangle.  <BR>\n" );
document.write( "12 is the length of the hypotenuse.<BR>\n" );
document.write( "Let y be altitude or the other leg.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B6%5E2=12%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2B6%5E2=12%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=144-36 ALIGN=MIDDLE  ALT=\"y%5E2=144-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=108 ALIGN=MIDDLE  ALT=\"y%5E2=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=2%2A54=2%2A2%2A27=2%2A2%2A3%2A3%2A3 ALIGN=MIDDLE  ALT=\"y%5E2=2%2A54=2%2A2%2A27=2%2A2%2A3%2A3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=6sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=6sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put attention onto the original isosceles triangle.\r<BR>\n" );
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document.write( "You want the area.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%2912%2A6sqrt%283%29 ALIGN=MIDDLE  ALT=\"%281%2F2%2912%2A6sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, one-half of base times height;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2836%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%2836%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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