document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835278>Question 835278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sides of a triangle are 7, 8, and 9, what is the exact length of the altitude to the longest side?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503546 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By Heron's formula, the area of the triangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt{12(5)(4)(3)} = 12 \sqrt{5}\">. Letting <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\"> be the altitude to the side of length 9, we have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 12 \sqrt{5} = \frac{1}{2} \times a \times 9\">, or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a = \frac{8 \sqrt{5}}{3}\">. </SPAN>\n" );
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