intersection of diagonals in a tangential trapezoid lies on a diameter _|_ bases
Source: 2012 (-13) Swedish Mathematical Competition p6
August 31, 2020
geometrytrapezoiddiametertangential
Problem Statement
A circle is inscribed in an trapezoid. Show that the diagonals of the trapezoid intersect at a point on the diameter of the circle perpendicular to the two parallel sides.