SMT 2018 Geometry #7 3d
Source:
August 8, 2023
geometry3D geometry
Problem Statement
Two equilateral triangles and , each with side length , are drawn in parallel planes such that when one plane is projected onto the other, the vertices of the triangles form a regular hexagon . Line segments , , , , and are drawn, and suppose that each of these segments also has length . Compute the volume of the resulting solid that is formed.