All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Triangular Cubes (Posted on 2004-12-04)

Three points have been chosen randomly from the vertices of a cube. What is the probability that they form (a) an acute triangle; (b) a right triangle?

 See The Solution Submitted by Erik O. Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Solution | Comment 1 of 11

There are C(8,3) = 56 possible triangles. Eight of these are equilateral triangles and the other 48 are right triangles. Threfore,

a) 1/7

b) 6/7

 Posted by Bractals on 2004-12-04 17:21:28
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information