IOM 2020, Блиц — Задача 73

The Blitz-contest of IOM-2020

Условие

Consider a triangle with side lengths $a$, $b$, and $c$ and area $P$ such that

$\sqrt{3}(b^2 + a^2 - c^2) = 2ab - 4P$.

Calculate the measure of the angle opposite to the side $c$. Give the answer in degrees.

Отговори

Решение

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