18

Part of 2018 Iran MO (1st Round)

Problems(1)

Rods of lengths 1396, 1439, 2018 - Iran First Round 2017, P18

Source:

Three rods of lengths

1396, 1439

2018

millimeters have been hinged from one tip on the ground. What is the smallest value for the radius of the circle passing through the other three tips of the rods in millimeters?