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Regional Olympiad - FBH 2014 Grade 11 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

September 24, 2018
ratiogeometryexcircle

Problem Statement

Excircle of triangle ABCABC to side ABAB of triangle ABCABC touches side ABAB in point DD. Determine ratio AD:BDAD : BD if CAB=2ADC\angle CAB = 2 \angle ADC