document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190552>Question 190552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a world problem that I need help solving. Thank you. The hypotenuse of a right triangle is 26 ft long. One leg is 14 ft longer than the other. Find the length of the shorter leg. </SPAN>\n" );
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document.write( "Let x = length of shorter leg<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+14 = length of longer leg<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x^2 + (x+14)^2 = 26^2<BR>\n" );
document.write( "x^2 + (x+14)(x+14) = 26^2<BR>\n" );
document.write( "x^2 + x^2 + 28x + 196 = 676<BR>\n" );
document.write( "2x^2 + 28x + 196 = 676<BR>\n" );
document.write( "2x^2 + 28x - 480 = 0<BR>\n" );
document.write( "x^2 + 14x - 240 = 0<BR>\n" );
document.write( "(x+24)(x-10) = 0<BR>\n" );
document.write( "x = {10, -24}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Toss out negative solution leaves us with<BR>\n" );
document.write( "x = 10 feet<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );