# 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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