Equilateral Triangle with X Inside

Geometry Level 5

\(ABC\) is an equilateral triangle with side length \(N\). \(X\) is a point within \(ABC\), such that the distance from \(X\) to the vertices \(A, B, C\) are \(8\), \(13\) and \(15\), respectively. What is the value of \(N^2\)?

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