Three points have been chosen randomly from the vertices of a nsided regular polygon.
Determine the probability (in terms of n) that they form (a) an acute triangle; (b) a right triangle?
(In reply to
re: computer findings for triangles through 50gons by Charlie)
To repeat, it looks like the probability of a right triangle is zero for odd n and 3/(n1) for even n.
... and it looks like for even n the probability of an acute triangle is (n/2 2)/(n1) and for odd n it's ((n1)/2)/(n2).

Posted by Charlie
on 20110814 17:21:57 