The mean triangle area of a triangle picked at random inside a unit cube is 
, with variance 
.
The distribution of areas, illustrated above, is apparently not known exactly.
The probability that a random triangle in a cube is obtuse is approximately 
.
See also
Ball Triangle Picking,
Cube Line Picking,
Cube
Point Picking,
Square Triangle Picking
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References
Finch, S. R. "Geometric Probability Constants." §8.1 in Mathematical
Constants. Cambridge, England: Cambridge University Press, pp. 479-484,
2003.Referenced on Wolfram|Alpha
Cube Triangle Picking
Cite this as:
Weisstein, Eric W. "Cube Triangle Picking."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CubeTrianglePicking.html
Subject classifications
