2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4
Find the smallest and largest possible distances between the centers of two circles of radius such that there is an equilateral triangle of side length with two vertices on one of the circles and the third vertex on the second circle.
This problem needs a solution. If you have a solution for it, please help us out by.
The smallest distance would be found if the two circles were externally tangent, so testing that and messing around with it yields: Which works, so the smallest distance would be
|2014 UNM-PNM Contest II (Problems • Answer Key • Resources)|
|1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10|
|All UNM-PNM Problems and Solutions|