A Half-Angle Relation

★ 7/10trigonometry Trigonometric Identities Triangle Geometry

Problem

In $\triangle ABC$ , $AC = 5$ and

\frac{1}{\tan\frac{A}{2}} + \frac{1}{\tan\frac{C}{2}} - \frac{5}{\tan\frac{B}{2}} = 0.

Find $BC + AB$ .

Answer

Solution

Difficulty	7/10
Topics	trigonometry, Trigonometric Identities, Triangle Geometry

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