2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4

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Problem

Find the smallest and largest possible distances between the centers of two circles of radius $1$ such that there is an equilateral triangle of side of length $1$ with two vertices on one of the circles and the third vertex on the second circle.


Solution

See also

2014 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions