Law of Sines Worksheet
Practice applying the Law of Sines to solve for unknown sides and angles in non-right triangles.
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Law of Sines Worksheet
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Read each question carefully and use the Law of Sines to solve for the unknown side or angle. Round your answers to the nearest tenth.
1. In triangle ABC, angle A = 45°, angle B = 60°, and side a = 10 cm. Find the length of side b.
2. In triangle PQR, angle P = 75°, angle Q = 40°, and side q = 12 inches. Find the length of side p.
3. In triangle XYZ, side x = 8 cm, side y = 11 cm, and angle Y = 70°. Find the measure of angle X.
4. In triangle DEF, side d = 15 m, side e = 10 m, and angle D = 80°. Find the measure of angle E.
5. Which of the following conditions is NOT suitable for using the Law of Sines?
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
SSA (Side-Side-Angle)
SSS (Side-Side-Side)
6. The Law of Sines is used to solve triangles that are not triangles.
7. The ambiguous case (SSA) in the Law of Sines can result in , one, or no possible triangles.
8. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
True
False
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