  Breaking a line segment L in two places at random, the three pieces can be
configured as a triangle T with probability 1/4. We determine both the PDF and
CDF for area(T) in terms of elliptic integrals. In particular, if L has length
1, then the median area 0.031458... can be calculated to arbitrary precision.
We also mention the analog involving cyclic quadrilaterals -- with
corresponding probability 1/2 -- and ask some unanswered questions.
