document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192620>Question 1192620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle ABC, (bsin C) (bcos C + ccos B) =42\r<BR>\n" );
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document.write( "Compute the area of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824514 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2Asin%28+C%29%29+%28b%2Acos+%28C%29+%2B+c%2Acos%28+B%29%29+=42 ALIGN=MIDDLE  ALT=\"%28b%2Asin%28+C%29%29+%28b%2Acos+%28C%29+%2B+c%2Acos%28+B%29%29+=42\"   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=b%2Acos%28C%29+%2B+c%2Acos%28B%29 ALIGN=MIDDLE  ALT=\"b%2Acos%28C%29+%2B+c%2Acos%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the triangle ABC\r<BR>\n" );
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document.write( "use the law of cosine to prove it:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28C%29+=++%28a%5E2+%2B+b%5E2+-+c%5E2%29%2F%282ab%29 ALIGN=MIDDLE  ALT=\"cos%28C%29+=++%28a%5E2+%2B+b%5E2+-+c%5E2%29%2F%282ab%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=cos%28B%29+=++%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282ca%29 ALIGN=MIDDLE  ALT=\"cos%28B%29+=++%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Acos+%28C%29+%2B+c%2Acos%28+B%29 ALIGN=MIDDLE  ALT=\"b%2Acos+%28C%29+%2B+c%2Acos%28+B%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=b%28%28a%5E2+%2B+b%5E2+-+c%5E2%29%2F%282ab%29%29%2Bc%28+%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282ca%29%29 ALIGN=MIDDLE   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=%28%28a%5E2+%2B+b%5E2+-+c%5E2%29%2F%282a%29%29%2B%28+%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282a%29%29 ALIGN=MIDDLE   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=%28a%5E2+%2B+b%5E2+-+c%5E2%2Bc%5E2+%2B+a%5E2+-+b%5E2%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28a%5E2+%2B+b%5E2+-+c%5E2%2Bc%5E2+%2B+a%5E2+-+b%5E2%29%2F%282a%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=%282a%5E2%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%282a%5E2%29%2F%282a%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=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Asin%28C%29 ALIGN=MIDDLE  ALT=\"b%2Asin%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the altitude drawn from vertex A to the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the area of triangle is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=%281%2F2%29ab%2Asin%28+C%29+ ALIGN=MIDDLE  ALT=\"area=%281%2F2%29ab%2Asin%28+C%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=area=%281%2F2%2942 ALIGN=MIDDLE  ALT=\"area=%281%2F2%2942\"   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=area=21 ALIGN=MIDDLE  ALT=\"area=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq. units\r<BR>\n" );
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