Uploaded January 2026 | Updated September 2026, 2 weeks ago
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An 1854 exam from Cambridge University featured a question which would go down in legend. It asks: if a stick is broken at two randomly chosen points, what is the probability the three pieces can form a triangle? Today we discuss this question, a variation, how we get it wrong, and how we get it right. It was widely popularized by Martin Gardner. #mathproblems #mathchallenge #viralmaths
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SOURCES
The Colossal Book of Mathematics by Martin Gardner
Goodman, G.S. The problem of the broken stick reconsidered. The Mathematical Intelligencer 30, 43–49 (2008).
files.eric.ed.gov/fulltext/ED626316.pdf
Viviani's Theorem and Related Problems by Jia, Huong, Yin, and Binh An
aioo.be/2015/12/30/Spaghetti-Triangles.html
https://circles.math.ucla.edu/circles/lib/data/Handout-1293-1302.pdf
0:00 Intro
3:31 Area Models
4:47 Restrictions
6:47 Viviani's Theorem
9:25 First Answer
10:47 Second Method
14:58 The Twist
16:45 A Valid Solution
20:19 A Clever Solution
23:32 Conclusion
🌏 Get an Exclusive NordVPN deal + 4 months extra here ➼ nordvpn.com/wrathofmath It’s risk-free with Nord’s 30-day money-back guarantee!
An 1854 exam from Cambridge University featured a question which would go down in legend. It asks: if a stick is broken at two randomly chosen points, what is the probability the three pieces can form a triangle? Today we discuss this question, a variation, how we get it wrong, and how we get it right. It was widely popularized by Martin Gardner. #mathproblems #mathchallenge #viralmaths
🛍 Check out my math fashion brand! mathshion.com
❤️ Join the channel to get exclusive and early videos, original music, math lectures, and more!
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
More Math Chats: youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO
Business Inquiries: wrathofmathlessons@gmail.com
Bad ending: youtu.be/4FRv715FkJw
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● TikTok: tiktok.com/@wrathofmathedu
● X: https://x.com/wrathofmathedu
SOURCES
The Colossal Book of Mathematics by Martin Gardner
Goodman, G.S. The problem of the broken stick reconsidered. The Mathematical Intelligencer 30, 43–49 (2008).
files.eric.ed.gov/fulltext/ED626316.pdf
Viviani's Theorem and Related Problems by Jia, Huong, Yin, and Binh An
aioo.be/2015/12/30/Spaghetti-Triangles.html
https://circles.math.ucla.edu/circles/lib/data/Handout-1293-1302.pdf
0:00 Intro
3:31 Area Models
4:47 Restrictions
6:47 Viviani's Theorem
9:25 First Answer
10:47 Second Method
14:58 The Twist
16:45 A Valid Solution
20:19 A Clever Solution
23:32 Conclusion
