Pentagon triangle picking considers a triangle formed by three points chosen independently and uniformly inside
a regular pentagon of unit area.
The mean triangle area is given by the 
case of polygon triangle picking,
An explicit distribution function for this
random area is given by Philip (2012, pp. 17-18).
See also
Polygon Triangle Picking,
Square Triangle Picking,
Triangle
Triangle Picking
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References
Philip, J. "The Area of a Random Triangle in a Regular Pentagon and the Golden Ratio." Stockholm, Sweden: KTH Royal Institute of Technology,
2012. https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-127517.Referenced
on Wolfram|Alpha
Pentagon Triangle Picking
Cite this as:
Weisstein, Eric W. "Pentagon Triangle Picking."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentagonTrianglePicking.html
Subject classifications
