Random Numbers, Obtuse Triangles, and π
- Author:
- David Richeson
The probability that two values a and b chosen at random between 0 and 1 will yield an obtuse triangle with side lengths 1, a, and b is . Geometrically, being an obtuse triangle corresponds to the point (a,b) being inside the unit circle but above the line .
(Source: Ingenuity in Mathematics by Ross Honsberger.)