### Home > MC2 > Chapter 9 > Lesson 9.3.3 > Problem 9-109

9-109.

The hypotenuse and one leg of a right triangle are 65 and 60 meters. What is the length of the third side? Homework Help ✎

Use the Pythagorean theorem.

(leg 1)^{2} + (leg 2)^{2} = (hypotenuse)^{2}

Substitute 65 for the hypotenuse and 60 for leg 1.

(60)² + (leg 2)² = (65)²

Now simplify.

3600 + (leg 2)² = 4225

−3600 −3600

(leg 2)² = 625

Take the square root of each side.

leg 2 = 25 meters