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inradius of rightangled, compass (2009 All-Ukrainian Correspondence MO 5-12 p3)

Source:

April 28, 2021
geometrycompassinradiusright triangleUkraine Correspondence

Problem Statement

A right triangle is drawn on the plane. How to use only a compass to mark two points, such that the distance between them is equal to the diameter of the circle inscribed in this triangle?