### Home > CC3 > Chapter Ch10 > Lesson 10.1.2 > Problem 10-28

10-28.

Find the length of the side labeled

*x*in each of the right triangles pictured below. Identify each answer as a rational or irrational number. Homework Help ✎a.

b.

c.

Use the Pythagorean Theorem.

(leg 1)² + (leg 2)² = (hypotenuse)²

Substitute the values that are given.

(5)² + (*x*)² = (13)²

25 + *x*² = 169

Solve by isolating *x*.

*x*² = 144

Take the square root of each side to get the answer.

(leg 1)² + (leg 2)² = (hypotenuse)²

Substitute the values that are given.

(6)² + (3)² = (*x*)²

Now solve for *x*.

See part (a).

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