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

Home > Shapes
Triangle Donut (Posted on 2006-01-01) Difficulty: 2 of 5
If X is the area of any triangle-PQR and you make a hole in the center of this triangle by first joining the midpoints of each side to create smaller triangle-STU and then again joining the midpoints of triangle-STU to create the hole in the center of this triangle, it would create a donut something like this:
          Q 
         / \
        /   \
       /     \
    S /_______\ U
     / \  A  / \
    /   \/_\/   \
   /     \ /     \
P /_______V_______\ R
          T
What is the area of the triangle donut in terms of X?

See The Solution Submitted by tanx    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The solution | Comment 7 of 14 |
(In reply to The solution by akash)

Connecting the mid-points results in 4 equal trianglea, therefor STU = 1/4 x.   Then area A = 1/4 STU or 1/16x.  THe area of the donut = x-1/16x or 15/16x.

nuff-said


  Posted by Pete on 2006-01-02 00:08:57
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (5)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information