2017.8

Part of Ukraine Correspondence MO - geometry

Problems(1)

find point K on midline of isosceles trapezoid with min sum <DAK + <BCK

Source: 2017 All-Ukrainian Correspondence MO, grades 5-12 p8

On the midline of the isosceles trapezoid

ABCD

BC \parallel AD

) find the point

K

, for which the sum of the angles

\angle DAK + \angle BCK

will be the smallest.

geometrytrapezoidminanglesUkraine Correspondence