MathDB

5

Part of 1964 Polish MO Finals

Problems(1)

min sum of distances from sides of angle

Source: Polish MO Finals 1964 p5

8/30/2024
Given an acute angle and a circle inside the angle. Find a point M M on the circle such that the sum of the distances of the point M M from the sides of the angle is a minimum.
geometryGeometric Inequalitiesconstruction