document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668359>Question 668359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an acute triangle ABC,an altitude AD is drawn. Find the area of triangle ABC if AB=15, AC=18, and BD=10. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415473 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since AD is the altitude to base BC we have to find AD & DC\r<BR>\n" );
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document.write( "Two right triangles are formed .<BR>\n" );
document.write( "ABD & ACD\r<BR>\n" );
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document.write( "In triangle ABD<BR>\n" );
document.write( "BD= 10<BR>\n" );
document.write( "AB= 15\r<BR>\n" );
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document.write( "Apply Pythagoras theorem<BR>\n" );
document.write( "AB is the hypotenuse<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2-10%5E2=+AD%5E2 ALIGN=MIDDLE  ALT=\"15%5E2-10%5E2=+AD%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "225-100=AD^2<BR>\n" );
document.write( "125 = AD^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD+=+5+sqrt%285%29 ALIGN=MIDDLE  ALT=\"AD+=+5+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We have AC= 18<BR>\n" );
document.write( "AD= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%285%29 ALIGN=MIDDLE  ALT=\"5sqrt%285%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=DC%5E2=+18%5E2-%285sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"DC%5E2=+18%5E2-%285sqrt%285%29%29%5E2\"   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=DC%5E2=324-125 ALIGN=MIDDLE  ALT=\"DC%5E2=324-125\"   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=DC%5E2=199 ALIGN=MIDDLE  ALT=\"DC%5E2=199\"   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=DC+=+sqrt%28199%29 ALIGN=MIDDLE  ALT=\"DC+=+sqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "BD+DC= BC\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC+=+10+%2Bsqrt%28199%29 ALIGN=MIDDLE  ALT=\"BC+=+10+%2Bsqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area of triangle = 1/2 base * altitude<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2+%2A+%2810%2Bsqrt%28199%29%29%2A5sqrt%285%29 ALIGN=MIDDLE  ALT=\"1%2F2+%2A+%2810%2Bsqrt%28199%29%29%2A5sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By using calculator you will get 134.76 sq. cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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