document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823533>Question 823533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a triangle is 17 cm. The length of one leg is 1 cm less than twice the length of the other. Find the length of each leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495581 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=495581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "a = x<BR>\n" );
document.write( "b = 2x - 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "17 = sqrt( (2x - 1)(2x - 1) + xx )<BR>\n" );
document.write( "289 = (2x - 1)(2x - 1) + xx<BR>\n" );
document.write( "289 = 4xx - 4x + 1 + xx<BR>\n" );
document.write( "5xx - 4x - 288 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=5, b=-4, and c=-290<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "5 -4 -288<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "this quadratic has two real roots (the x-intercepts), which are:<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "x = -7.2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "negative length doesn't make sense for this problem, so use the positive root<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "a = 8 cm<BR>\n" );
document.write( "b = 15 cm<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( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );