MathDB

3

Part of 1990 Canada National Olympiad

Problems(1)

Sum of lengths of each pair of opposite sides of q is equal

Source:

10/4/2011
The feet of the perpendiculars from the intersection point of the diagonals of a convex cyclic quadrilateral to the sides form a quadrilateral qq. Show that the sum of the lengths of each pair of opposite sides of qq is equal.
geometryincentercyclic quadrilateralangle bisector