# Geometricum geometriorum (HP IV, Goblet of fire)

Geometry Level 3

The right- triangle $$\Delta ABC$$ shown above, ($$\angle A = 90º$$), has $$c = AB = 15$$, and $$CD = m = 16$$. Find the altitude (height) $$h$$ from $$A$$ to $$BC$$ with foot at $$D$$, the lenght of side $$b = AC$$ and $$n = BD$$.

Submit $$b + h + n$$

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