document.write( "Question 1053728: One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less than the hypotenuse. Find the length of the hypotenuse \n" ); document.write( "
Algebra.Com's Answer #668932 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! hypotenuse is x \n" ); document.write( "one leg ix x-4 \n" ); document.write( "the other is x-2 \n" ); document.write( "The square of each leg added equals the square of the hypotenuse \n" ); document.write( "(x-4)^2+(x-2)^2=x^2=x^2-8x+16+x^2-4x+4 \n" ); document.write( "x^2=2x^2-12x+20 \n" ); document.write( "0=x^2-12x+20 \n" ); document.write( "(x-10)(x+2)=0 \n" ); document.write( "x=10, and -2, whic \n" ); document.write( "h is ignored \n" ); document.write( "The legs are 6 and 8 meters, and \n" ); document.write( "10 meters is the hypotenuse length. \n" ); document.write( " |