document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816954>Question 816954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 9 feet long. One leg is 2 feet longer than the other. Find the length of the legs. What is the shorter leg? The longer leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491806 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h = sqrt( aa + bb )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "h = 9<BR>\n" );
document.write( "a = b + 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "h = sqrt( aa + bb )<BR>\n" );
document.write( "9 = sqrt( (b + 2)(b + 2) + bb )<BR>\n" );
document.write( "81 = (b + 2)(b + 2) + bb<BR>\n" );
document.write( "81 = bb + 4b + 4 + bb<BR>\n" );
document.write( "2b^2 + 4b - 77 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=2, b=4, and c=-77<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "2 4 -77<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the roots of the quadratic are:<BR>\n" );
document.write( "b = 5.28490254<BR>\n" );
document.write( "b = -7.28490254<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't make sense for a length, so use the positive root:<BR>\n" );
document.write( "b = 5.28490254<BR>\n" );
document.write( "a = 7.28490254<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "the length of the legs is:<BR>\n" );
document.write( "a = 7.28490254 ft<BR>\n" );
document.write( "b = 5.28490254 ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );