IOM 2017, Блиц — Задача 5

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

Условие

The diagonals $AC$ and $CE$ of a regular hexagon $ABCDEF$ are divided by inner points $M$ and $N$ respectively, so that $\frac{AM}{AC} = \frac{CN}{CE} = r$ . What is the value of $21r^2$ if $B$, $M$, and $N$ are collinear?

Отговори

Решение

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