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Regional Olympiad - FBH 2009 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018
geometryinscribed triangle

Problem Statement

In triangle ABCABC holds ∠ACB=90∘\angle ACB = 90^{\circ}, ∠BAC=30∘\angle BAC = 30^{\circ} and BC=1BC=1. In triangle ABCABC is inscribed equilateral triangle (every side of a triangle ABCABC contains one vertex of inscribed triangle). Find the least possible value of side of inscribed equilateral triangle
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