document.write( "Question 986779: One leg Of a right triangle Is 5 inches lInter than the other. If the hypotenuse is 25 inches long, Find the lengths of the legs.(only an algerbraic solution will be accepted) \n" ); document.write( "
Algebra.Com's Answer #607568 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "One leg is 5 ins. shorter than \n" ); document.write( "other leg. \n" ); document.write( "Other leg = 'x' \n" ); document.write( "One leg = x - 5 \n" ); document.write( "Hypotenuse = 25 ins \n" ); document.write( "x^2 + (x - 5)^2 = 25^2 \n" ); document.write( "x^2 + x^2 - 10 + 25 = 625 \n" ); document.write( "2x^2 - 10x - 600 = 0 \n" ); document.write( "Divide thro' by 2 \n" ); document.write( "x^2 - 5x - 300 = 0 \n" ); document.write( "Factorise \n" ); document.write( "(x - 20)(x + 15) = 0 \n" ); document.write( "x + 15 = 0 \n" ); document.write( "x = -15 (no answer as -ve) \n" ); document.write( "x - 20 = 0 \n" ); document.write( "x = 20 \n" ); document.write( "Other leg = 20 inches \n" ); document.write( "One leg = 15 inches \n" ); document.write( "Hypotenuse = 25 inches. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |