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.
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.
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.
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.
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.
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.
Question 7: For the following ABC, find mB. Round to the nearest degree.
Answer: 76°
Explanation: We will use the Law of Sine here.
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.
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.
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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