Precalculus
Triangles Review
Name:_________________________________________________
Find the indicated side or angle in each triangle.
1.
a
2.
20°
θ
3
2
5
3.
x
85°
3
4.
10
y
35°
50°
8
5. Determine the number of triangles that will result given the following sides and angle:
b = 2, c = 3, B = 40° .
Find the area of each triangle.
6.
7. a = 6, b = 5, and c = 8
2
48°
4
Solve all possible triangles with the given measures.
8. B = 45°, C = 95°, c = 5
9. a = 3, b = 2, and A = 50°
10. a = 4, b = 8, c = 5
11. B = 52°, c = 4, a = 2
12. A ship, off-shore from a vertical cliff known to be 100 feet in height, takes a sighting of the top
of the cliff. If the angle of elevation is found to be 25° , how far offshore is the ship?
100 ft
25°
13. Three towns are located in a triangular pattern. Town A is 23 miles from Town B. Town B is
30 miles from Town C. Town C is 27 miles from Town A. Assuming that the roads between
the towns are perfectly straight, find the angle made by the roads at Town A.
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