Law of Sines Worksheet

Practice applying the Law of Sines to solve for unknown sides and angles in non-right triangles.

Grade 9 Math TrigonometryLaw of Sines

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2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.10

Topics

MathTrigonometryLaw of SinesGrade 9

7 sections · Free to use · Printable

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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