IOM 2017, Блиц — Задача 78

OLYMPIAD OF METROPOLISES. Moscow, September 4 · 4 септември 2017 г.

Условие

Each edge of a regular square pyramid $SABCD$ (with apex $S$) is of length 5. Points $P$, $Q$, $R$ are taken on the edges $SA$, $AB$, $BC$ respectively such that $PA = AQ = RC = 2$. Find the distance from the vertex $D$ to the plane $PQR$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: answers-blitz.pdf