An Orthocenter Combination

★ 8/10trigonometry Trigonometric Identities Triangle Geometry

Problem

In an acute triangle $ABC$ with $A = \dfrac{\pi}{6}$ , let $H$ be the orthocenter, and suppose $AH = \sqrt{3}$ . Find the range of possible values of

\sqrt{3}\,BH + CH.

Answer

Solution

Difficulty	8/10
Topics	trigonometry, Trigonometric Identities, Triangle Geometry

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