document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=510547>Question 510547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a triangle,the length of whose altitudes are 5, 12 and 13 units, is-<BR>\n" );
document.write( "a)30 sq units<BR>\n" );
document.write( "b)60 sq units<BR>\n" );
document.write( "c)78 sq units<BR>\n" );
document.write( "d)such a triangle does not exist. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341830 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=341830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Such a triangle would have an area of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A = \frac{1}{2}5s_1 = \frac{1}{2}12s_2 = \frac{1}{2}13s_3\"> where s1, s2, s3 are the side lengths of the triangle. Hence,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5s_1 = 12s_2 = 13s_3\">\r<BR>\n" );
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document.write( "We can let s1 = 156k, s2 = 65k and s3 = 60k for some positive number k. It is apparent that such a triangle does not exist because 60k + 65k < 156k (it violates the triangle inequality), so the answer is D, such a triangle does not exist. </SPAN>\n" );
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