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.)
 re: Triangle Donut | Comment 11 of 14 |

Triangle PQR has area of X

Triangle STU has area of X/4 because joining midpoints of all 3 sides splits PQR into 4 equal triangles

Triangle A "Hole" also splits STU into 4 equal parts, A has area of X/16

Donut is Triangle PQR-"Hole"

Donut's area is 15X/16

 Posted by Josiah Lumpkin on 2006-01-03 14:45:58

 Search: Search body:
Forums (5)