document.write( "Question 528751: the hypotenuse of a right angled triangle is 6m more than twice the shortest side. If the third side is 2m less than the hypotenuse, find the sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #349413 by nerdybill(7384)\"\" \"About 
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the hypotenuse of a right angled triangle is 6m more than twice the shortest side. If the third side is 2m less than the hypotenuse, find the sides of the triangle.
\n" ); document.write( "Let x = shortest side
\n" ); document.write( "then
\n" ); document.write( "2x+6 = hypotenuse
\n" ); document.write( "2x+6-2 = 2x+4 = long side
\n" ); document.write( ".
\n" ); document.write( "x^2 + (2x+4)^2 = (2x+6)^2
\n" ); document.write( "x^2 + (2x+4)(2x+4) = (2x+6)(2x+6)
\n" ); document.write( "x^2 + 4x^2+16x+16 = 4x^2+24x+36
\n" ); document.write( "5x^2+16x+16 = 4x^2+24x+36
\n" ); document.write( "x^2+16x+16 = 24x+36
\n" ); document.write( "x^2-8x+16 = 36
\n" ); document.write( "x^2-8x-20 = 0
\n" ); document.write( "(x-10)(x+2) = 0
\n" ); document.write( "x {-2, 10}
\n" ); document.write( "throw out the negative solution leaving:
\n" ); document.write( "x = 10m (short side)
\n" ); document.write( ".
\n" ); document.write( "hypotenuse:
\n" ); document.write( "2x+6 = 2(10)+6 = 20+6 = 26m
\n" ); document.write( ".
\n" ); document.write( "long side:
\n" ); document.write( "2x+4 = 2(10)+4 = 20+4 = 24m \n" ); document.write( "
\n" );