# A geometry problem by Housam Kak

**Geometry**Level 3

\(ABC\) is any triangle such that \(AB=9\) and \(AC=6\) and \( \angle BAC=60^\circ\).

Calculate the height \([AH]\) issued from \(A\) to \(BC\).

Round the answer to the nearest digit.

\(ABC\) is any triangle such that \(AB=9\) and \(AC=6\) and \( \angle BAC=60^\circ\).

Calculate the height \([AH]\) issued from \(A\) to \(BC\).

Round the answer to the nearest digit.

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