document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207407>Question 1207407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13 inches and x inches? What are the dimensions of the triangle(s)?\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "I must use a^2 + b^2 = c^2.\r<BR>\n" );
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document.write( "Yes?\r<BR>\n" );
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document.write( "My set up:\r<BR>\n" );
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document.write( "(3x + 13)^2 + x^2 = (4x + 5)^2\r<BR>\n" );
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document.write( "If this is correct, what does the value of x represent in this case? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845264 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Looks good so far.\r<BR>\n" );
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document.write( "(3x + 13)^2 + x^2 = (4x + 5)^2<BR>\n" );
document.write( "(3x + 13)(3x + 13) + x^2 = (4x + 5)(4x + 5)<BR>\n" );
document.write( "9x^2+39x+39x+169 + x^2 = 16x^2+20x+20x+25<BR>\n" );
document.write( "10x^2+78x+169 = 16x^2+40x+25<BR>\n" );
document.write( "0 = 16x^2+40x+25-(10x^2+78x+169)<BR>\n" );
document.write( "0 = 16x^2+40x+25-10x^2-78x-169<BR>\n" );
document.write( "0 = 6x^2-38x-144<BR>\n" );
document.write( "6x^2-38x-144 = 0\r<BR>\n" );
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document.write( "From here use the quadratic formula. <BR>\n" );
document.write( "I'll let the student finish up.<BR>\n" );
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