document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493573>Question 493573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that right angle triangle hypotenuse side length is always longer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335520 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=335520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To prove that the hypotenuse is the longest side of a right triangle, we use the Pythagorean theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE c^2 = a^2 + b^2\">\r<BR>\n" );
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document.write( "and the fact that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE c^2 > a^2\"> implies <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a^2 + b^2 > a^2 \Rightarrow b^2 > 0\"> (sometimes called the \"trivial\" inequality).\r<BR>\n" );
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document.write( "If you are not allowed to use the Pythagorean theorem, use the law of cosines and claim that the Pythagorean theorem is a special case of the law of cosines. </SPAN>\n" );
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