Math with Bad DrawingsCartoon Archive

Greatest Triangles: The 3-4-5 (Inradius 1)

October 8, 2025

One entry from the 10 Greatest Triangles countdown: The 3-4-5 (Inradius 1).

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-10-08-the-10-greatest-triangles-of-the-21st-century--greatest-triangles-the-3-4-5-inradius-1/ (CC BY-NC 4.0)
Transcript

#7: The 3-4-5. "Long derided as 'overrated,' 'overplayed' and 'interesting more for number theoretic properties than geometric ones,' this stalwart has a trick up its sleeve: an incircle whose radius is precisely 1. Let the haters chew on *that.*"

Topics
Geometry › Circles › IncircleGeometry › Pythagorean Theorem › Pythagorean Triples
Level
Middle SchoolHigh SchoolCollege
Themes
Pop CulturePunsLanguage & WordplayMathematicians