document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177730>Question 1177730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle ABC, (bsinC)(bcosC + c(cosB)) = 42. What is 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 #806819 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=806819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = projection of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > on  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Then:\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+=+AD ALIGN=MIDDLE  ALT=\"b%2Asin%28C%29+=+AD\"   DISABLED_style= \"max-width:90%; height:auto;\" > => height of the triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" > with respect to base<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+BC ALIGN=MIDDLE  ALT=\"+BC\"   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+=+DC ALIGN=MIDDLE  ALT=\"b%2Acos%28C%29+=+DC\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>projection of side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+AC ALIGN=MIDDLE  ALT=\"b+=+AC\"   DISABLED_style= \"max-width:90%; height:auto;\" > onto base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   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=c%2Acos%28B%29+=+BD ALIGN=MIDDLE  ALT=\"c%2Acos%28B%29+=+BD\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>projection of side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+AB ALIGN=MIDDLE  ALT=\"c+=+AB\"   DISABLED_style= \"max-width:90%; height:auto;\" > onto base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus \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%2Bc%2Acos%28B%29+=+BD+%2B+DC+=+BC+=+base ALIGN=MIDDLE  ALT=\"b%2Acos%28C%29%2Bc%2Acos%28B%29+=+BD+%2B+DC+=+BC+=+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42+=+%28b%2Asin%28C%29%29%28b%2Acos%28C%29%2Bc%2Acos%28B%29%29+=+AD+%2A+BC+=+height%2Abase+=+2%2A%28%281%2F2%29height%2Abase%29+=+2%28ABC%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC+=+42%2F2+=+21+ ALIGN=MIDDLE  ALT=\"ABC+=+42%2F2+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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