IOM 2020, Блиц — Задача 50

The Blitz-contest of IOM-2020

Условие

Let $ABC$ be an obtuse triangle, such that $\angle BAC > 90^{\circ}$. $M$ is the midpoint of $BC$, the internal bisectors of $\angle AMB$ and $\angle AMC$ intersect the circumcircles of $ABM$ and $ACM$ at points $X$ and $Y$, respectively ($X, Y \ne M$). Line $XY$ intersects line $AM$ at $P$. Given $PX = 1188$, $PY = 2112$, and $AP = 334$, find the length of $BC$.

Fractional numbers can be entered either as a decimal fraction or as $m/n$.

Отговори

Решение

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Оригинал в Архива: iom-2020-blitz-tasks.pdf · официални решения: iom-2020-blitz-answers.pdf