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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:
         / \
        /   \
       /     \
    S /_______\ U
     / \  A  / \
    /   \/_\/   \
   /     \ /     \
P /_______V_______\ R
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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-03-19 11:17:46
re: triangle donut with triangle holeVernon Lewis2006-01-04 21:11:01
triangle donut with triangle holetanx2006-01-04 14:12:59
Solutionre: Triangle DonutJosiah Lumpkin2006-01-03 14:45:58
No SubjectFletch2006-01-03 11:27:20
re(3): My interpretationMindRod2006-01-02 12:21:39
A footnotegoFish2006-01-02 12:03:34
re: The solutionPete2006-01-02 00:08:57
re(2): My interpretationajosin2006-01-01 23:46:08
My solution...Scott2006-01-01 20:26:42
re(2): My interpretationRichard2006-01-01 15:52:46
re: My interpretationVernon Lewis2006-01-01 15:47:03
SolutionMy interpretationCharlie2006-01-01 12:53:42
The solutionakash2006-01-01 11:16:26
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