Law of Sines Worksheet

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

Grade 11 Math TrigonometryLaw of Sines

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.10CCSS.MATH.CONTENT.HSG.SRT.D.11

Topics

MathTrigonometryLaw of SinesGrade 11

7 sections · Free to use · Printable

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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 DEF, side d = 8 cm, side e = 12 cm, and angle D = 30°. Find the measure of angle E.

3. Which of the following conditions must be met to use the Law of Sines?

Two sides and the included angle (SAS)

Two angles and any side (AAS or ASA)

Three sides (SSS)

All of the above

4. The Law of Sines states that the ratio of a side length to the of its opposite angle is constant for all three sides of a triangle.

5. The ambiguous case of the Law of Sines occurs when given sides and a non-included angle.

6. The Law of Sines can be used to solve any triangle, including right triangles.

True

False