document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128479>Question 128479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 8 ft. longer than one leg and 4 ft. longer than the other leg. What are the dimensions of this triangle? Show the equation you used to solve this and then your answer. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94017 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=94017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c = the hypotenuse and a and b the other two legs.<BR>\n" );
document.write( "From the problem description, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+a%2B8 ALIGN=MIDDLE  ALT=\"c+=+a%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+b%2B4 ALIGN=MIDDLE  ALT=\"c+=+b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite these in terms of a and b to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+c-8 ALIGN=MIDDLE  ALT=\"a+=+c-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+c-4 ALIGN=MIDDLE  ALT=\"b+=+c-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you can use the Pythagorean theorem to find c, the hypotenuse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute the two equations above for a and b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+%28c-8%29%5E2%2B%28c-4%29%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+%28c-8%29%5E2%2B%28c-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+%28c%5E2-16c%2B64%29%2B%28c%5E2-8c%2B16%29 ALIGN=MIDDLE  ALT=\"c%5E2+=+%28c%5E2-16c%2B64%29%2B%28c%5E2-8c%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+2c%5E2-24c%2B80 ALIGN=MIDDLE  ALT=\"c%5E2+=+2c%5E2-24c%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2-24c%2B80+=+0 ALIGN=MIDDLE  ALT=\"c%5E2-24c%2B80+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c-4%29%28c-20%29+=+0 ALIGN=MIDDLE  ALT=\"%28c-4%29%28c-20%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+4 ALIGN=MIDDLE  ALT=\"c+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+20 ALIGN=MIDDLE  ALT=\"c+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the first solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+4 ALIGN=MIDDLE  ALT=\"c+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as c must be greater than 8 or else you have one leg of the triangle equal to zero!<BR>\n" );
document.write( "So, the hypotenuse is 20 and the other two legs are a=12 and b = 16.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute c = 20, a = 12, and b = 16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E2+=+12%5E2%2B16%5E2 ALIGN=MIDDLE  ALT=\"20%5E2+=+12%5E2%2B16%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400+=+144%2B256 ALIGN=MIDDLE  ALT=\"400+=+144%2B256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400+=+400 ALIGN=MIDDLE  ALT=\"400+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK! </SPAN>\n" );
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