3

Part of 1993 Rioplatense Mathematical Olympiad, Level 3

Problems(1)

equilateral with max perimeter that sides pass through 3 given points

Source: Rioplatense 1993 L3 P3

Given three points

A, B

C

(not collinear) construct the equilateral triangle of greater perimeter such that each of its sides passes through one of the given points.

geometryperimetermaximumEquilateral TriangleEquilateral