CPM Homework Banner

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

10-28.
  1. 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 ✎

  2. 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 + x² = 169

Solve by isolating x.

x² = 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
Now solve for x.

See part (a).

8