Final answer:
To find the length of each leg of an isosceles right triangle, use the Pythagorean theorem. In this case, the length of each leg is 8.
Step-by-step explanation:
To find the length of each leg of the isosceles right triangle, we can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we are given that the length of the hypotenuse is 8√2. We can set up the equation:
a2 + a2 = (8√2)2
2a2 = 128
a2 = 64
a = √64
a = 8
Therefore, the length of each leg of the triangle is 8. So, the correct answer is A.