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Equilateral triangle by distances (Posted on 2024-03-29) Difficulty: 3 of 5
The three vertices of an equilateral triangle are at distances 1, 2, and 3 from a line.

Find all possible areas of this triangle.

No Solution Yet Submitted by Jer    
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re: Thoughts | Comment 4 of 5 |
(In reply to Thoughts by Brian Smith)

The other three solutions are also rational multiples of sqrt(3).  A general formula isn't too hard to find.
  Posted by Jer on 2024-04-01 13:16:49

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