In the right triangle shown, AC = BCAC=BCA, C, equals, B, C and AB = 12\sqrt{2}AB=12 2 A, B, equals, 12, square root of, 2, end square root. How long are each of the legs?

Given:

ABC is a right triangle and AC = BC

The length of AB is

We need to determine the length of each of the legs.

Length of AC and BC:

Let the length of AC and BC be x.

The length of AC and BC can be determined using the Pythagorean theorem.

Thus, we have;

Substituting the values, we have;

Simplifying, we get;

Dividing both sides by 2, we get;

Taking square root on both sides, we get;

Thus, the length of each legs is 12 units.

Hence, the length of AC and BC are 12 units each.

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