MathDB

26

Part of 2013 Harvard-MIT Mathematics Tournament

Problems(1)

2013 HMMT Guts #26: Altitudes form Triangles, too!

Source:

3/26/2013
Triangle ABCABC has perimeter 11. Its three altitudes form the side lengths of a triangle. Find the set of all possible values of min⁡(AB,BC,CA)\min(AB,BC,CA).
HMMTgeometryperimeter