SAT Subject Test Math Level 2 Practice Test: Triangles

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Question 10 questions

Time 12 minutes

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1. In ABC, A = 30°, b = 8, and a =4. Angle C could equal

A. 45°
B. 135°
C. 60°
D. 15°
E. 90°

2. In ABC, A = 30°, a = 6, and c = 8. Which of the following must be true?

A. 0° < C < 90°
B. 90° < C < 180°
C. 45° < C < 135°
D. 0° < C < 45° or 90° < C < 135°
E. 0° < C < 45° or 135° < C < 180°

3. The angles of a triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

A.
B. 8:03
C.
D. 8:05
E.

4. The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is

A. 82°
B. 69°
C. 56°
D. 41°
E. 27°

5. Find the length of the longer diagonal of a parallelogram if the sides are 6 inches and 8 inches and the smaller angle is 60°.

A. 8
B. 11
C. 12
D. 7
E. 17

6. What are all values of side a in the figure below such that two triangles can be constructed?

A.
B. a > 8
C.
D.
E.

7. In ABC, B = 30°, C = 105°, and b = 10. The length of side a equals

A. 7
B. 9
C. 10
D. 14
E. 17

8. The area of ABC, = 24 , side a = 6, and side b = 16. The value of C is

A. 30°
B. 30° or 150°
C. 60°
D. 60° or 120°
E. none of the above

9. The area of ABC= 12, side a = 6, and side b = 8. Side c =

A. 2
B. 2
C. 2 or 2
D. 10
E. 10 or 12

10. Given the following data, which can form two triangles?

I. C = 30°, c = 8, b = 12

II. B = 45°, a = 12, b = 15

III. C = 60°, b = 12, c =5

A. only I
B. only II
C. only III
D. only I and II
E. only I and III