IOM 2018, Блиц, английски — Задача 22

OLYMPIAD OF METROPOLISES. Moscow, September 3 · 3 септември 2018 г.

Условие

Suppose that $O$ is the center of a circle, $P$ is a point on this circle, and $M$ is the midpoint of $OP$. Let $Q$ and $R$ be points on the circle such that they lie on the same side of the line $OP$, and $\angle QMO = \angle RMP$. Find the length of $QR$ if $QM$ and $RM$ have lengths of 1527 and 519, respectively.

Отговори

Решение

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