Stick And Triangle

1729 · January 31st, 2015, 03:06 AM

A Stick of length L divided in three parts. What is the probability that three parts can form a triangle ??

Hoempa · January 31st, 2015, 05:42 AM

The sum of the lengths of the two smaller sides of any triangle is larger than the length of the longest side, so the longest side from the triangle formed in the excersize is less than 0.5L.

mathman · January 31st, 2015, 02:45 PM

Quote:

Originally Posted by 1729 $View Post$

A Stick of length L divided in three parts. What is the probability that three parts can form a triangle ??

You need to specify the probability distribution for the division.

January 31st, 2015, 03:06 AM	#1
1729 Member Joined: Jan 2015 From: Rajasthan, India Posts: 55 Thanks: 24 Math Focus: Algebra & Geomectry	Stick And Triangle A Stick of length L divided in three parts. What is the probability that three parts can form a triangle ??
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January 31st, 2015, 05:42 AM	#2
Hoempa Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361	The sum of the lengths of the two smaller sides of any triangle is larger than the length of the longest side, so the longest side from the triangle formed in the excersize is less than 0.5L.
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