### 4-1: TEKS Practice

• 1. Use the Pythagorean Theorem to find the unknown side of the right triangle. Simplify your answer. Write an exact answer, using radicals as needed. • 2. Find the length of the third side of the right triangle. Round to the nearest thousandth. • 3. You are going to use an inclined plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the inclined plane is 16 ft from the shelving unit. What is the length of the inclined plane? Round to the nearest tenth as needed. • 4. What is the slant height of the pyramid? Round to the nearest tenth as needed. • 5. Writing Find the length of the hypotenuse of the right triangle. Explain how you can interpret the Pythagorean Theorem using the areas of squares. • 6. Reasoning You are painting the roof of a shed that is 35 ft from the ground. You are going to place the base of a ladder 12 ft from the shed. • a. How long does the ladder need to be to reach the roof of the shed? Simplify your answer.

• b. Explain how shortening the distance between the ladder and the shed affects the height of the ladder.

• 7. Error Analysis A student was asked to find the slant height of a square pyramid if the length of each side of the base is 24 cm and the height is 25 cm. She incorrectly said the slant height is 7 cm.

• a. Find the slant height of the pyramid. Round to the nearest tenth as needed.

• b. What mistake might the student have made?

• 8. Pyramid Dimensions Each face of the pyramid is a triangle with the dimensions shown. How far is a corner of the base from the top of the pyramid? Round to the nearest tenth as needed. End ofPage 129