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Chapter 8 Indicate the best answer by writing the appropriate letter. The shorter leg of a 30 -60-90 triangle has length 7. Find the length of the hypotenuse . b. 7V2 a . C. 7V3 a. 15V/3 cm 2. The altitude to the hypotenuse of a right triangle divides the hypotenuse d. V14 into segments b. 15V/5 m How long is the altitude? c. 5V/30 cm a. 36 b. 5V/2 The hypotenuse and one leg of a right triangle have lengths 61 and II. Find the length of the other leg. d. 5V/55 cm c. 60 altitude . 4. Each side of an equilateral triangle has length 12. Find the length of an d. V3842 a. 6 b. 12 c. 6V/2 d. 6V/3 a. 2V/s b. SV/2 5. One side of a square has length s. Find the length of a diagonal. c. V3 d. SV/3 6. What kind of triangle has sides of lengths 12, 13, and 18? a. an obtuse triangle c. an acute triangle b. a right triangle d. an impossibility 7. In ARST, m LS = 90. What is the value of sin T? ST b. RS a. ST RS RT d. RT RS 8. What is the geometric mean between 2 and 24? a. 48 b. 16V/3 c. 4V/6 d. 4V/3 9. One acute angle of a certain right triangle has measure n. If sin n' = what is the value of tan no? 4 a. WIA b. c . A IW d. 10. Which equation could be used to find the value of x? a. cos 580 = 18.9 18.9 b. sin 320 = X 16 320 440 X c. cos 440 = d. tan 460 = X 16 10.4 10.4 10.4 11. In rt. AABC, AB _ BC, BD 1 AC at point D, BC = 9, and AC = 12. Find the ratio of AD to DC 9 16 a. b. 9 C . d. 16 12. For what value(s) of x is a triangle with sides of lengths x, x + 7, and x + 8 a right triangle? a. x = - 7 b. x = 5 C. x = - 7 or x = 5 d. - 7