MathDB
angles wanted, _|_ bisectors, MN=BC (Kyiv City Olympiad 2004 11.2)

Source:

June 28, 2021
geometryperpendicular bisector

Problem Statement

Given a triangle ABCABC, in which ∠B>90o\angle B> 90^o. Perpendicular bisector of the side ABAB intersects the side ACAC at the point MM, and the perpendicular bisector of the side ACAC intersects the extension of the side ABAB beyond the vertex BB at point NN. It is known that the segments MNMN and BCBC are equal and intersect at right angles. Find the values ​​of all angles of triangle ABCABC.
Back to ProblemsView on AoPS