document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388627>Question 388627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the altitude of the longest side of a triangle with sides of 12, 10, and 8. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274990 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=274990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By Heron's formula, the area of the triangle is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2815%2A3%2A5%2A7%29+=+15sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%2815%2A3%2A5%2A7%29+=+15sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The altitude of the longest side is the one which is perpendicular to the segment with length 12. Thus,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2812a%29+=+15sqrt%287%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2812a%29+=+15sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%285sqrt%287%29%29%2F2 ALIGN=MIDDLE  ALT=\"a+=+%285sqrt%287%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );