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Triangle Cover Treat (Posted on 2016-07-16) Difficulty: 3 of 5
An equilateral triangle with unit side is completely covered by six identical circles.

What is the smallest radius of each of the circles?

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Possible solution | Comment 1 of 3

Assuming the circles are at the vertices and on the middle of each side:

sqrt3/6, i.e. one-third the height of the triangle.

Edited on July 16, 2016, 7:56 am
  Posted by broll on 2016-07-16 07:52:05

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