document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=788833>Question 788833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have gone over this several times but I get so confused! Can you help?  The hypotenuse of a right triangle is 32 cm more than one of the legs. If the other leg is 120 cm, how long is the hypotenuse? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478628 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=478628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Legs x and y. Hypotenuse h.<BR>\n" );
document.write( "x=120<BR>\n" );
document.write( "y=?<BR>\n" );
document.write( "h=32+y\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Pythagorean Theorem:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"h%5E2=x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832%2By%29%5E2=120%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"%2832%2By%29%5E2=120%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%5E2%2B2%2A32y%2By%5E2=120%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"32%5E2%2B2%2A32y%2By%5E2=120%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See y^2 as term on both sides of the equation.  Subtract y^2 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%5E2%2B2%2A32y=120%5E2 ALIGN=MIDDLE  ALT=\"32%5E2%2B2%2A32y=120%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64y%2B32%5E2=120%5E2 ALIGN=MIDDLE  ALT=\"64y%2B32%5E2=120%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64y=120%5E2-32%5E2 ALIGN=MIDDLE  ALT=\"64y=120%5E2-32%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28120%2B32%29%28120-32%29%2F64 ALIGN=MIDDLE  ALT=\"y=%28120%2B32%29%28120-32%29%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ------because expression shows difference of two squares.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28152%29%2888%29%2F64 ALIGN=MIDDLE  ALT=\"y=%28152%29%2888%29%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Keep simplifying,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=76%2A2%2A8%2A11%2F%288%2A8%29=2%2A38%2A2%2A8%2A11%2F%288%2A8%29=2%2A2%2A19%2A2%2A8%2A11%2F%288%2A8%29=19%2A11 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=19%2A11%29 ALIGN=MIDDLE  ALT=\"highlight%28y=19%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is the leg, y, in factored form.  Just use it in computed form to help compute the value of h.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=32%2B19%2A11%29 ALIGN=MIDDLE  ALT=\"highlight%28h=32%2B19%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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