Law of Sines / Law of Cosines

Front

What is the Law of Sines?

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Front

What is the Law of Cosines?

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Front

When do you use the Law of Sines?

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The Law of Sines is used when you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).

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When do you use the Law of Cosines?

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The Law of Cosines is used when you have either two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

Front

Find the measure of angle H if side lengths are given: a=10, b=8, c=6.1.

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Front

Find the measure of angle F if side lengths are given: a=5, b=7, c=4.

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Front

What is the formula for finding the area of a triangle using the Law of Sines?

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Front

What is the relationship between the angles and sides in a triangle according to the Law of Sines?

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The Law of Sines shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

If a triangle has angles A=30°, B=60°, and C=90°, what can you say about the sides?

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The side opposite the largest angle (C) is the longest, and the side opposite the smallest angle (A) is the shortest.

Front

How do you find a missing side using the Law of Cosines?

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