document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446918>Question 446918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many possible right triangles have an area of 20 units squared?\r<BR>\n" );
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document.write( "I have found two so far, but I am not sure if there are more.\r<BR>\n" );
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document.write( "I have found one with the height being 8 and the base being 5.<BR>\n" );
document.write( "I have found one with the base and height both being 6 1/3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307785 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=307785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Actually, there are infinitely many right triangles having an area of 20 sq units. Given the area of the triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 20 = (1/2)bh\">\r<BR>\n" );
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document.write( "We establish \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 40 = bh\">.\r<BR>\n" );
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document.write( "We can assume that the area is a function in terms of b, i.e.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h = \frac{40}{b}\">\r<BR>\n" );
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document.write( "The domain of b is the entire set of positive real numbers, and for each b, there exists an h. Hence there are infinitely many such triangles. </SPAN>\n" );
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