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Lesson 2: The Pythagorean Theorem — Practice Questions

  1. 1. A rectangular park is 24 meters long and 7 meters wide. If you walk diagonally from one corner to the opposite one, what is the distance you walk, in meters? The distance is ___ meters.

  2. 2. A 41-foot ladder leans against a building. The base of the ladder is 9 feet from the wall. How high up the building does the ladder reach, in feet? The height is ___ feet.

  3. 3. The height of a computer monitor is 6 inches and its width is 10 inches. What is the length of the diagonal of the monitor, rounded to the nearest tenth of an inch?

    • A. 11.7 inches
    • B. 8.0 inches
    • C. 16.0 inches
    • D. 136.0 inches
  4. 4. A kite is flying on a 15-meter string. The kite is directly above a point 8 meters away from the person holding the string. What is the height of the kite, rounded to the nearest meter?

    • A. 7 meters
    • B. 13 meters
    • C. 17 meters
    • D. 161 meters
  5. 5. A triangular sail has a base of 11 feet and a height of 60 feet, forming a right angle. What is the length of the sail's longest edge, in feet? The length is ___ feet.

  6. 6. A right triangle has legs with lengths of 9 cm and 12 cm. What is the length of the hypotenuse in cm? ___

  7. 7. The two legs of a right triangle measure 4 units and 6 units. What is the exact length of the hypotenuse? ___

  8. 8. The hypotenuse of a right triangle is 11 meters long, and one leg is 5 meters long. What is the exact length of the other leg?

    • A. $\sqrt{6}$ meters
    • B. 6 meters
    • C. $\sqrt{96}$ meters
    • D. $\sqrt{146}$ meters
  9. 9. Squares are drawn on each side of a right triangle. If the areas of the squares on the two legs are 49 and 576 square units, what is the length of the hypotenuse?

    • A. 18
    • B. 25
    • C. 32
    • D. 625
  10. 10. A ladder leans against a wall. Its base is 8 feet from the wall, and it reaches 15 feet up the wall. What is the length of the ladder in feet? ___