# Altitude

Geometry Level 3

A regular tetrahedron has a surface area of $$100\sqrt{3}$$ square units. Find its altitude. If your answer is in the form $$\frac{A(B)\sqrt{B}}{\sqrt{C}}$$, where $$A,B$$ and $$C$$ are all prime numbers, give your answer as $$A+B+C$$.

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