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## Homework Statement

let be ABC a generic triangle, build on each side of the triangle an equilater triangle, proof that the triangle having as vertices the centers of the equilaters triangles is equilater

## Homework Equations

sum of internal angles in a triangle is 180, rules about congruency in triangles

## The Attempt at a Solution

i know two ways to demontrate that a triangle is equilater, congruency of the sides or same angles, but i have no clue on how to do it, i didn t found any relation between the triangles, only some opposite angles