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The altitude to the hypotenuse is given by:
The altitudes to the legs are simply the other leg lengths:
Thus, the shortest altitude is the one to the hypotenuse:
But this is messy. Alternative interpretation: perhaps reduced by 4 meters refers to the height of the original equilateral triangle being decreased to $h - 4$, but the cross-section remains equilateral with new dimensions. Then:
This is still complex. Reconsider: perhaps reduced by 4 meters means the side is reduced by 4 meters, and the area drop leads to a known equilateral triangle.
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