We have given hypotenuse=<span>6√2 let us suppose leg =a using Pythagorean theorem a^2+a^2=(</span><span>6√2)^2 </span>2a^2=36*2 diving by 2 on both sides a^2=36 taking square root on both sides √a^2 =<span>√36 a=6 therefore </span><span>the leg of each isosceles right triangle is 6</span>