1999 AIME Problems/Problem 15

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Problem

Consider the paper triangle whose vertices are $\displaystyle (0,0), (34,0),$ and $\displaystyle (16,24).$ The vertices of its midpoint triangle are the midpoints of its sides. A triangular pyramid is formed by folding the triangle along the sides of its midpoint triangle. What is the volume of this pyramid?

Solution

See also

1999 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Final Question
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All AIME Problems and Solutions