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tan<ABD wanted on a grid paper

Source: 2021 Oral Moscow Geometry Olympiad grades 8-9 p1

May 24, 2021
geometrytrigonometrygrid

Problem Statement

Points A,B,C,DA,B,C,D have been marked on checkered paper (see fig.). Find the tangent of the angle ABDABD. https://cdn.artofproblemsolving.com/attachments/6/1/eeb98ccdee801361f9f66b8f6b2da4714e659f.png