A geometry problem by Wildan Bagus W. Hafidz

Geometry Level 1

Given the \(\triangle ABC \). The lines \(AD \) and \(BE \) are each perpendicular to the sides \(BC \) and \(AC \) and intersect at point \(H\). Find the value

\[{ \left( \frac { AH\cdot HD }{ BH\cdot HE } \right) }^{ 10 }\]

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