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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

4/29/2021
On the midline of the isosceles trapezoid ABCDABCD (BC∥ADBC \parallel AD) find the point KK, for which the sum of the angles ∠DAK+∠BCK\angle DAK + \angle BCK will be the smallest.
geometrytrapezoidminanglesUkraine Correspondence