document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929582>Question 929582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is sqrt 18 units. What are the lengths of the legs of the triangle? How many different answers can you find? Sketch a triangle for each answer. Explain your strategies.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564380 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=564380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a & b are the two legs of the triangle, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+%28sqrt%2818%29%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+%28sqrt%2818%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+18 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for b to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+sqrt%2818+-+a%5E2%29 ALIGN=MIDDLE  ALT=\"b+=+sqrt%2818+-+a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are infinitely many ordered pairs (a,b) that make that equation true. If you sketch the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%2818+-+x%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%2818+-+x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and make sure that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cx%3Csqrt%2818%29 ALIGN=MIDDLE  ALT=\"0%3Cx%3Csqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you'll see all of the possible combos of (a,b). Each combo is a point on the curve of the graph. </SPAN>\n" );
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