document.write( "Question 205683: Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the right triangle.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #155320 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
let x=\"longer leg\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "by Pythagoras ___ x^2 + (x - 14)^2 = (x + 2)^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2 + x^2 - 28x + 196 = x^2 + 4x + 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2 - 32x + 192 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(x - 24) (x - 8) = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since the leg must be longer than 14, x = 24
\n" ); document.write( "
\n" );