If the hypotenuse of an isosceles right triangle is 4√2, what is the area of the triangle?

Question: If the hypotenuse of an isosceles right triangle is 4√2, what is the area of the triangle?

Solution:
In an isosceles right triangle, legs are equal.
We know,
Hypotenuse = leg × √2.
Given,
hypotenuse = 4√2,
∴ leg = (4√2)/√2 = 4
Now
The area of the triangle= (1/2) × leg × leg = (1/2) × 4 × 4 = 8