Inspired

Geometry Level 4

Let \(ABC\) an equilateral triangle, \(P\) a point inside the triangle such as \(AP=12, BP=35\) and \(CP=37\) . Find the area of \(\triangle ABC\).

If your answer come as \(\frac{a\sqrt{b}}{c}+d\) submit it as \(a+b+c+d\).

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