A Triangle from an Angle Relation

Problem

In ABC\triangle ABC, A+B=3CA+B=3C and 2sin(AC)=sinB2\sin(A-C)=\sin B.

1. Find sinA\sin A. 2. If AB=5AB=5, find the altitude to the side ABAB.

Answer

Solution

Difficulty6/10
TopicsLaw of Sines, trigonometry, Trigonometric Identities

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