document.write( "Question 879342: The longer leg of a right angle triangle is 7cm longer than the shorter leg.the hypotenuse is 9cm longer than than the shorter leg. Find the lengths of the triangle \n" ); document.write( "
Algebra.Com's Answer #530753 by ewatrrr(24785) You can put this solution on YOUR website! Applying the Pythagorean theorem \n" ); document.write( "x^2 + (x+7)^2 = (x+9)^2 |Expand \n" ); document.write( "2x^2 + 14x + 49 = x^2 + 18x + 81 \n" ); document.write( " x^2 - 4x -32 = 0 \n" ); document.write( " (x - 8)(x+4) = 0, x = 8 (negative solution tossed out for unit measure) \n" ); document.write( "shorter leg : 8 \n" ); document.write( "longer leg: 15 \n" ); document.write( "Hypotenuse: 17 \n" ); document.write( " |