8.2

Part of 1998 All-Russian Olympiad Regional Round

Problems(1)

Interesting [can the lines AM and AN trisect < BAD ?]

Source: Russian MO 1998

Given a parallelogram ABCD, let M and N be the midpoints of the sides BC and CD. Can the lines AM, AN divide the angle BAD into three equal angles?

geometryparallelogramtrigonometrygeometry solved