document.write( "Question 906435: An isosceles right triangle has legs measuring (x-2) cm each. the hypotenuse has measure (x+4) cm. find x \n" ); document.write( "
Algebra.Com's Answer #549855 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An isosceles right triangle has legs measuring (x-2) cm each. the hypotenuse has measure (x+4) cm. find x \n" ); document.write( "--------- \n" ); document.write( "(x-2)^2 + (x-2)^2 = (x+4)^2 \n" ); document.write( "------------------------------- \n" ); document.write( "2[x^2-4x+4] = x^2 + 8x + 16 \n" ); document.write( "------ \n" ); document.write( "2x^2 - 8x + 8 = x^2 + 8x + 16 \n" ); document.write( "x^2 - 16x - 8 = 0 \n" ); document.write( "---- \n" ); document.write( "x = [16 +- sqrt(16^2-4*-8)]/2 \n" ); document.write( "----- \n" ); document.write( "x = [16 +- sqrt(288)]/2 \n" ); document.write( "----- \n" ); document.write( "x = [16 +- 16.97]/2 \n" ); document.write( "----- \n" ); document.write( "x = 16.49 or x = -0.49 \n" ); document.write( "--------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |