# Wasn't it easy to find an equilateral triangle's side

Geometry Level 4

A point $$P$$ inside the equilateral triangle $$ABC$$ of side length $$'a'$$ has the distances $$3$$, $$4$$ and $$5$$ from the vertices $$A$$, $$C$$ and $$B$$, respectively. Find $$a$$.

This problem is not original.

×