RMO 2014 D1

CRMO Paper 4

let $ABCD$ be a isosceles trapezium having an incircle with $AB$ parallel to $CD$ . let $CE$ be the perpendicular from $C$ on $AB$ prove that $CE^2 = AB. CD$

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2014 official paper, page 1.

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