A unit length is broken off into 3 pieces. What is the probability of them forming a triangle?

Moderator Edit:Approved Challenge question.

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- April 19th 2010, 09:51 PMdwsmithSome probability
A unit length is broken off into 3 pieces. What is the probability of them forming a triangle?

**Moderator Edit:**Approved Challenge question. - April 20th 2010, 09:53 AMundefined
- April 20th 2010, 10:55 AMdwsmith
- April 21st 2010, 12:11 AMsimplependulum
I let

,

The area of the region bounded is also one fourth of the triangle .