1. EXAMPLE 2 Standardized Test Practice SOLUTION =+

2. EXAMPLE 2 Standardized Test Practice Find positive square root. Substitute. Multiply. Subtract 16 from each side. SOLUTION Approximate with a calculator. 16 2 = 4 2 + x 2 256 = 16 + x 2 15.491 ≈ x 240 = x 240 = x 2 ANSWER The ladder is resting against the house at about 15.5 feet above the ground. The correct answer is D.

3. GUIDED PRACTICE for Example 2 The top of a ladder rests against a wall, 23 feet above the ground. The base of the ladder is 6 feet away from the wall. What is the length of the ladder? 3.3. SOLUTION =+

4. GUIDED PRACTICE for Example 2 x 2 = (6) 2 + (23) 2 x 2 = 36 + 529 x 2 = 565 x = 23.77 Substitute. Multiply. Approximate with a calculator. Add. about 23.8 ft ANSWER

5. GUIDED PRACTICE for Example 2 The Pythagorean Theorem is only true for what type of triangle? 4. right triangle ANSWER