MathDB
2003 BAMO p5 AB<2FG , inside a square

Source:

August 26, 2019
geometrygeometric inequalitysquare

Problem Statement

Let ABCDABCD be a square, and let EE be an internal point on side ADAD. Let FF be the foot of the perpendicular from BB to CECE. Suppose GG is a point such that BG=FGBG = FG, and the line through GG parallel to BCBC passes through the midpoint of EFEF. Prove that AC<2ā‹…FGAC < 2 \cdot FG.
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