MathDB

6

Part of 1991 Swedish Mathematical Competition

Problems(1)

exists equilateral with area <=1/4, inscribed in each triangle

Source: 1991 Swedish Mathematical Competition p6

4/2/2021
Given any triangle, show that we can always pick a point on each side so that the three points form an equilateral triangle with area at most one quarter of the original triangle.
geometryareaGeometric InequalitiesEquilateral