document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378651>Question 378651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle has sides measuring 2x-1, 3x-13, and 3x-4 units. What is the value of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268930 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=268930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right triangle has sides measuring 2x-1, 3x-13, and 3x-4 units. What is the value of x?<BR>\n" );
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document.write( "longest side: 3x-4<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(2x-1)^2 + (3x-13)^2 = (3x-4)^2<BR>\n" );
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document.write( "4x^2-4x+1 + 9x^2-78x+169 = 9x^2-24x+16<BR>\n" );
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document.write( "13x^2-82x+170 = 9x^2-24x+16<BR>\n" );
document.write( "4x^2 - 58x + 154 = 0<BR>\n" );
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document.write( "2x^2 - 29x + 77 = 0<BR>\n" );
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document.write( "Positive Solution:<BR>\n" );
document.write( "x = [29 +- sqrt(29^2 - 4*2*77)]/4<BR>\n" );
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document.write( "x = [29 +- sqrt(225)]/4<BR>\n" );
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document.write( "x = [29+-15]/4<BR>\n" );
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document.write( "x = 11 or x = 7/2<BR>\n" );
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document.write( "Only x=11 is a viable answer to get positive side lengths.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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