2.7182818284590452353602874

Geometry Level 5

2 graphs of functions \(y={ x }^{ 2 }\) and \(y=\sqrt [ x ]{ x }\) intersect at points A and B. At both A and B, x is not equal to 0. At \(\max _{ y=\sqrt [ x ]{ x } }{ (y) }\) on the second graph, abscissa is p. Find the perimeter of triangle ABC if the point (p,0) is considered as point C. (Till 2 decimal points)

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