document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717127>Question 717127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation.<BR>\n" );
document.write( "i can not solve this question for my homework<BR>\n" );
document.write( "it said:<BR>\n" );
document.write( "The sides of the right-angle triangle are x,[x+2]and[2x-2]. The hypotenuse is lenght[2x-2]. Find the actual dimensions of the triangle.<BR>\n" );
document.write( "My math teacher told me to use Pythagoras Theorem c^2 = a^2+b^2 but i not sure about that.<BR>\n" );
document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440114 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=440114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Do exactly what your teacher told you to do.  If the hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\ -\ 2\">, then we can say <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\ -\ 2\ =\ c\">. The designation as to the other two sides is arbitrary because of the commutativity of addition, so we can assign <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ +\ 1\ =\ a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ =\ b\">.  Now plug these values into the Pythagorean relationship:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (2x\ -\ 2)^2\ =\ (x\ +\ 1)^2\ +\ x^2\">\r<BR>\n" );
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document.write( "Now all you have to do is expand the squared binomials and collect like terms in the LHS.  That will leave you with a quadratic expression equal to zero, which is simply a quadratic equation.  Given correct arithmetic you will have an easily factorable quadratic equation.  Discard the zero root because that is clearly absurd, leaving you with a positive integer value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> that you can use to calculate the measures of your three triangle sides.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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