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 Triangle Donut (Posted on 2006-01-01)
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)

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 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

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