MathDB
BD=? AB + BC = 2021, AD = CD, <ABC = <CDA = 90^o

Source: New Zealand MO 2021 Round 2 p1 NZMO

October 6, 2021
geometryright angleequal segments

Problem Statement

Let ABCDABCD be a convex quadrilateral such that AB+BC=2021AB + BC = 2021 and AD=CDAD = CD. We are also given that ∠ABC=∠CDA=90o\angle ABC = \angle CDA = 90^o. Determine the length of the diagonal BDBD.
Back to ProblemsView on AoPS