Let ABCD be a trapezium inscribed in a circle Γ with diameter AB. Let E be the intersection point of the diagonals AC and BD . The circle with center B and radius BE meets Γ at the points K and L (where K is on the same side of AB as C). The line perpendicular to BD at E intersects CD at M. Prove that KM is perpendicular to DL.Greece - Silouanos Brazitikos geometrytrapezoidtrigonometryincentercircumcircleanalytic geometrypower of a point