 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  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) Comments: ( Back to comment list | You must be logged in to post comments.) My solution... | Comment 5 of 14 | The Donut is (15/16)*X  The smaller triangle(the hole) is 1/4 of STU and STU is 1/4 of PQR, therefore The smaller triangle(the hole) is 1/16 of PQR.  Leaving the rest(the donut) to be 15/16 of PQR.  SO the answer is that the donut is 15/16ths of X.
 Posted by Scott on 2006-01-01 20:26:42 Please log in:

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