Four Points in the Plane

Unknown Author December 7, 2019

2 Comments

Section: Brain Teasers Category: Mathematics

Difficulty: Advanced Tags: Geometry

Find all configurations of four points in the plane, such that the pairwise distances between the points take at most two different values.

SOLUTION

All 6 configurations are shown below: a square, a rhombus with 60°-120°-60°-120°, an equilateral triangle with its center, an isosceles triangle with 75°-75°-30° and its center, a quadrilateral with 75°-150°-75°-150°, and a trapezoid with base angles of 72°.

Unknown Author

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