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computational with a tangential quadrilateral

Source: 2017 Portugal p5

October 11, 2020
geometryquadrilateral

Problem Statement

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. https://1.bp.blogspot.com/-sDKOdmceJlY/X4KaJxi8AoI/AAAAAAAAMk8/7UkTzaWqQSkdqb0N_-r0CZZjD-OGZknSACLcBGAsYHQ/s260/2017%2Bportugal%2Bp5.png
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