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MathNet 2022-part-06 — 196 problems (EN–VI) Question 126

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 126

A regular tetrahedron has a square shadow of area $16$ when projected onto a flat surface (light is shone perpendicular onto the plane). Compute the sidelength of the regular tetrahedron.

(For example, the shadow of a sphere with radius $1$ onto a flat surface is a disk of radius $1$.)