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OPM 2017 Problem 5

  • Final day 2

Let [ABCD][ABCD] be a convex quadrilateral with AB=2,BC=3,CD=7AB = 2, BC = 3, CD = 7 and ∠B=90o\angle B = 90^o , for which there is a inscribed circle. Determine the radius of this circle. Image

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2017 official paper, page 1.

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