Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Probability of a Triangle
Replies: 9   Last Post: Sep 19, 2004 9:07 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Alan Lipp

Posts: 41
Registered: 12/6/04
Re: probability of a triangle (SPOILER)
Posted: Jun 7, 1996 5:28 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Dan,

A very pretty solution. My own approach was two-dimensional but also used
geometric probability. The three segments have length x, y, and 1-x-y so the
domain is the right triangle D whose corners are (0, 0), (1, 0), and (0,
1) . . . any point inside this figure represents a possible breaking of
the unit segment. The three triangle inequalities become x + y > 1/2, x
< 1/2, y < 1/2 which define a right triangle formed by joining the
midpoints of D. The probability of forming such a triangle is 1/4.

Alan Lipp






Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.