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.

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