The Law of Cosines

Unknown Grade45 minutes

Learning Objective

I can solve real-world problems involving triangles by applying the Law of Cosines to determine unknown side lengths or angles.

Practice Questions

This lesson includes 7 practice questions to reinforce learning.

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1. Explain the Law of Cosines and describe how it differs from the Pythagorean theorem.

2. Given a triangle with sides B = 10 units, C = 15 units, and an angle θ = 60°, use the Law of Cosines to find the length of side A.

3. A triangle has sides measuring 8 units and 6 units, with an included angle of 45°. Calculate the length of the third side using the Law of Cosines.

...and 4 more questions

Educational Video

Law of cosines | Trig identities and examples | Trigonometry | Khan Academy

Khan Academy

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