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G-SRT.10 Warmup M3-042-A05-V04

Prove the Laws of Sines and Cosines and use them to solve problems.

Use the Law of Cosines to find a missing side from two sides and the included angle

Problem

The triangle shown has sides \(6\) and \(11\) enclosing a \(60°\) angle. Use the Law of Cosines to find the side opposite the \(60°\) angle.

A scale-faithful SAS triangle marking two known sides, their included angle, and the unknown opposite side. Open full size
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-SRT.10
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Prove the Laws of Sines and Cosines and use them to solve problems.
Problem type
Use the Law of Cosines to find a missing side from two sides and the included angle