Arbitrary Points Inside Equilateral Triangles

Geometry Level 4

A B C ABC is an equilaterila triangle. There is a point P P such that A P = 3 AP = 3 , B P = 4 BP = 4 , and C P = 5 CP = 5 . Find the side length A B AB and round to the nearest integer value.


The answer is 7.

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