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1999 AIME Question 15

AIME · 1999 AIME

Question 15

Consider the paper triangle whose vertices are $(0, 0),$ $(34, 0),$ and $(16, 24).$ 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?