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

Moderator Edit:Approved Challenge question.

Printable View

- Apr 19th 2010, 08:51 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. - Apr 20th 2010, 08:53 AMundefined
- Apr 20th 2010, 09:55 AMdwsmith
- Apr 20th 2010, 11:11 PMsimplependulum
I let $\displaystyle x+y<1 $

, $\displaystyle x+y > \frac{1}{2}$

$\displaystyle x,y < \frac{1}{2} $

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