Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 20. The hypotenuse is marked 52.

48

Step-by-step explanation:

The Pythagorean Theorem is:

where and are the legs of the right triangle. is the hypotenuse of the triangle.

In this right triangle, we know that one leg is 20 and the hypotenuse is 52. Therefore,

Since we don't know the other leg, we can leave it as . Substitute the values into the theorem.

Evaluate the exponents first.

⇒ 20²=20*20=400

⇒ 52²= 52*52= 2704

Since we want to find , we must isolate . First, subtract 400 from both sides of the equation.

is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

The length of the other leg is 48

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