Verified Answer :

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

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