document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058022>Question 1058022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have a right triangle with hypotenuse 25. One of the legs gets decreased by 8 and other gets increased 4 and we still have a right triangle with hypotenuse 25. What are the lengths of the legs in the new triangle? (If you could tell me how you got your answer that would be helpful.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673036 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=673036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y, original dimensions for the right triangle initially.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=25%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The new triangle, also right triangle, same hypotenuse length.<BR>\n" );
document.write( "Unclear what kind of increases are described.  Assuming addition.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%5E2%2B%28y%2B4%29%5E2=25%5E2 ALIGN=MIDDLE  ALT=\"%28x-8%29%5E2%2B%28y%2B4%29%5E2=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16x%2B64%2By%5E2%2B8y%2B16=25%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-16x%2B64%2By%5E2%2B8y%2B16=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B8y-16x%2B64%2B16=25%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B8y-16x%2B64%2B16=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E2%2B8y-16x%2B80=25%5E2 ALIGN=MIDDLE  ALT=\"25%5E2%2B8y-16x%2B80=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y-16x%2B80=0 ALIGN=MIDDLE  ALT=\"8y-16x%2B80=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2x%2B10=0 ALIGN=MIDDLE  ALT=\"y-2x%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might use this last resulting equation and the original triangle equation for this system:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5E2%2By%5E2=25%5E2%2Cy-2x%2B10=0%29 ALIGN=MIDDLE  ALT=\"system%28x%5E2%2By%5E2=25%5E2%2Cy-2x%2B10=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you should be able to solve this nonlinear system with no trouble.  Try taking <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-10 ALIGN=MIDDLE  ALT=\"y=2x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and substitute this in the other equation. </SPAN>\n" );
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