Nearest Wall of a Triangle
A point is chosen uniformly at random inside an equilateral triangle of height 1. What is the expected distance from the point to the nearest side of the triangle? Give a reduced fraction.
Related problems & prerequisites
Worth solving first
- An Obtuse Viewing Angle 5.0/10
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- The Broken Stick 5.0/10
Source: Classic geometric-probability exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.