document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401653>Question 401653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the hypotenuse of a right-angled triangle is 17 cm. The base of the triangle is 7 cm<BR>\n" );
document.write( "more than the height. Find the height of the triangle.\r<BR>\n" );
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document.write( "I looked at the answer from the answers book it said height = 8cm, then I worked out this is because of pythagoras' theorem.<BR>\n" );
document.write( "However I don't know how with the information given you would put this in a quadratic equation and work it out, for the question I need to show working out which I am confused of because I don't know the steps of working out, please help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284261 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you recall the 8-15-17 Pythagorean triple, you can conclude the base is 15 and the height is 8.\r<BR>\n" );
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document.write( "Or, we can turn this into a quadratic by letting the height be h and the base h+7. Then,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2+%2B+%28h%2B7%29%5E2+=+17%5E2+=+289 ALIGN=MIDDLE  ALT=\"h%5E2+%2B+%28h%2B7%29%5E2+=+17%5E2+=+289\"   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=2h%5E2+%2B+14h+%2B+49+=+289 ALIGN=MIDDLE  ALT=\"2h%5E2+%2B+14h+%2B+49+=+289\"   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=2h%5E2+%2B+14h+-+240+=+0 ALIGN=MIDDLE  ALT=\"2h%5E2+%2B+14h+-+240+=+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=h%5E2+%2B+7h+-+120+=+0 ALIGN=MIDDLE  ALT=\"h%5E2+%2B+7h+-+120+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (dividing by 2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h-8%29%28h%2B15%29+=+0 ALIGN=MIDDLE  ALT=\"%28h-8%29%28h%2B15%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "h = 8 (taking the positive solution). </SPAN>\n" );
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