MathDB
Paper Pyramid

Source:

December 18, 2005
geometry3D geometrypyramidtetrahedronanalytic geometrytrigonometryvector

Problem Statement

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