NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 8 Review

Show ALL WORK. Leave your answers in simplified radical form unless otherwise specified.

1. Find the geometric mean between 9 and 11.

2. In △PQR, RS = 5 and QS = 8. Find PS. 3. Find x. 4. Find x.

5. Find the length of the hypotenuse of a 6. Find x.

right triangle whose legs measure 6 and 5.

7. Classify the triangle with the given side lengths as acute, right, or obtuse.

a) 8, 9, 16 b) 3, 4, 5

8. Find c. 9. Find the perimeter of a square 10. Find x.

if the length of its diagonal is 16 millimeters.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

11. Find x. Round to the nearest tenth. 12. Find x to the nearest degree.

13. If a 24-foot ladder makes a 58° angle with the ground, how many feet up a wall will it reach? Draw a picture to model

the situation. Round your answer to the nearest tenth.

14. A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 13.2°. If a point on the ocean

floor is 75 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck?

Draw a picture to model the situation. Round to the nearest tenth.

15. A tiny alien is on top of OEHS and is threatening to destroy the city. A 6-foot tall Men in Black agent is standing on

the ground 30 feet from the building. If OEHS is 40 feet tall, at what angle should the agent shoot his laser? Assume

the laser is at the height of his head. Round your answer to the nearest tenth of a degree.

16. Find x. 17. In parallelogram ABCD, AD = 14 and 18. The length of an altitude of an

m∠D = 60. Find AF. equilateral triangle is 9. Find the

length of one side of the equilateral

triangle.

19. Find x to the nearest tenth. 20. Find the value of x.