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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?

 Submitted by tanx Rating: 3.0000 (1 votes) Solution: (Hide) If you divide all the sub triangles into 16 equal sized "holes" you will see that the area of the triangle donut will always be: 15/16 X

 Subject Author Date Answer K Sengupta 2008-03-19 11:17:46 re: triangle donut with triangle hole Vernon Lewis 2006-01-04 21:11:01 triangle donut with triangle hole tanx 2006-01-04 14:12:59 re: Triangle Donut Josiah Lumpkin 2006-01-03 14:45:58 No Subject Fletch 2006-01-03 11:27:20 re(3): My interpretation MindRod 2006-01-02 12:21:39 A footnote goFish 2006-01-02 12:03:34 re: The solution Pete 2006-01-02 00:08:57 re(2): My interpretation ajosin 2006-01-01 23:46:08 My solution... Scott 2006-01-01 20:26:42 re(2): My interpretation Richard 2006-01-01 15:52:46 re: My interpretation Vernon Lewis 2006-01-01 15:47:03 My interpretation Charlie 2006-01-01 12:53:42 The solution akash 2006-01-01 11:16:26

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