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Law of Sines:

It states a relation between sides and the angle opposite to that side of a triangle.

The ratio of sides of the triangle and sine of the corresponding angle to that side, will remain the same for all three sides of the triangle.

a/sinA = b/sinB = c/sinC = 2R

Law of Sines Sample Questions:

Question 1: Find b using the following triangle. Write your answer to the nearest whole number.

Answer: b = 32

Explanation: We will use the Law of Sine here.

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Question 2: Find a using the following triangle. Write your answer to the nearest whole number.

Answer: a = 15

Explanation: We will use the Law of Sine here.

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Question 3: Find c using the following triangle. Write your answer to the nearest whole number.

Answer: c = 50

Explanation: We will use the Law of Sine here.

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Question 4: Find the measure of m∠B using the following triangle. Write your answer to the nearest degree.

Answer: 46°

Explanation: We will use the Law of Sine here.

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Question 5: Find the measure of m∠A using the following triangle. Write your answer to the nearest degree.

Answer: 50°

Explanation: We will use the Law of Sine here.

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Question 6: Find the measure of mC using the following details.

Write your answer to the nearest degree.

Answer: 70°

Explanation: We will use the Law of Sine here.

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Question 7: For the following ABC, find mB. Round to the nearest degree.

Answer: 76°

Explanation: We will use the Law of Sine here.

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Question 8: Find a using the following ABC. Write your answer to the nearest tenth.

Answer: 6.6

Explanation: We will use the Law of Sine here.

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Question 9: Find b using the following ABC. Write your answer to the nearest tenth.

Answer: 8.5

Explanation: We will use the Law of Sine here.

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Question 10: Find the measure of m∠C using the following ABC.

Write your answer to the nearest degree.

Answer: 31°

Explanation: We will use the Law of Sine here.

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Math Questions Answers Pages

Area of a Triangle Coefficient