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MathNet 2004 — Part 02 Question 111

Math Olympiad Vault · MathNet 2004 — Part 02

Question 111

The base face of an upright prism is a deltoid, which has a shorter diagonal of length $e$. The internal angles of the deltoid with the peaks in the places of the longer diagonal measure $90^{\circ}$ and $60^{\circ}$. The height of the prism is equal to the longer diagonal of the deltoid. Express the free prism notino with $e$. The result should be accurate.