Math Yays

[dubsartur]

While I am working during tonight's video chat, Andrew Gelman passes along a geometry puzzle https://statmodeling.stat.columbia.edu/2025/02/27/geometry-corner-i-got-no-intuition-about-this-one/

Let a, b, and c be the sides of a triangle.

    Let p be perimeter of the triangle.

    Let r be the radius of the largest circle that can be inscribed in the triangle, and let R be the radius of the circle through the vertices of the triangle.

    Then all six numbers can be related in one equation:

    2prR = abc.

Feel free to work on it when you want a distraction!