46

Part of 1982 IMO Longlists

Problems(1)

No matter which diagonal is drawn!

Source: IMO LongList 1982 - P46

Prove that if a diagonal is drawn in a quadrilateral inscribed in a circle, the sum of the radii of the circles inscribed in the two triangles thus formed is the same, no matter which diagonal is drawn.

geometrycircumcirclegeometry unsolved