document.write( "Question 436153: The hypotenuse of an isosceles right triangle is 7 centimeters longer than either of its legs. Find the exact length of each side(an isosceles right triangle is a right triangle whose legs are the sae length.)
\n" ); document.write( "Find the length of one leg?\r
\n" ); document.write( "\n" ); document.write( "Find the length of the other leg?\r
\n" ); document.write( "\n" ); document.write( "Find the length of the hypotenuse?\r
\n" ); document.write( "\n" ); document.write( "(Simplfy your answer using radicals as needed.)
\n" ); document.write( "

Algebra.Com's Answer #301754 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
one leg x cm
\n" ); document.write( "other leg = x cm
\n" ); document.write( "hypotenuse = x+7\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2=(x+7)^2
\n" ); document.write( "2x^2=x^2+14x+49
\n" ); document.write( "x^2-14x-49=0
\n" ); document.write( "Solve by quadratic formula
\n" ); document.write( "a= 1 b= -14 c= -49
\n" ); document.write( "
\n" ); document.write( "b^2-4ac=196+196
\n" ); document.write( "b^2-4ac=392==> sqrt( 392 )=19.8
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x1=(14+19.8)/ 2
\n" ); document.write( "x1= 16.9
\n" ); document.write( "x2=(14-19.8)/2
\n" ); document.write( "x2= -2.9
\n" ); document.write( "Ignore negative value
\n" ); document.write( "The legs are 16.9 cm
\n" ); document.write( "Hypotenuse = 23.9 cm
\n" ); document.write( "
\n" ); document.write( "
\n" );