IOM 2019, Блиц — Задача 11

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

Three balls of radii $r_1$, $r_2$, and $r_3$ are placed on a flat table such that every two balls are touching each other. They are touching the table in the points $A_1$, $A_2$, and $A_3$, respectively. Given $A_1A_2 = 4$, $A_2A_3 = 6$, and $A_1A_3 = 8$, find $r_2$.

Решение

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Оригинал в Архива: blitz-en-all-task-final.pdf