document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827416>Question 827416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a right triangle is 14 centimeters shorter than the other leg, and the hypotenuse is 2 centimeters longer then the longer leg. Find the lengths of all three sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498684 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=498684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = long leg<BR>\n" );
document.write( "y = short leg<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x - 14<BR>\n" );
document.write( "h = x + 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "h = sqrt( xx + yy )<BR>\n" );
document.write( "hh = xx + yy<BR>\n" );
document.write( "(x + 2)(x + 2) = xx + (x - 14)(x - 14)<BR>\n" );
document.write( "xx + 4x + 4 = xx + xx - 28x + 196<BR>\n" );
document.write( "xx - 32x + 192 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=-32, and c=192<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( "1 -32 192<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 24<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "h = sqrt( 24*24 + 8*8 )<BR>\n" );
document.write( "h = 25.298221281347036<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = long leg = 24 cm<BR>\n" );
document.write( "y = short leg = 8 cm<BR>\n" );
document.write( "h = hypotenuse = 25.2 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" );