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no of quadrilaterals ANCD if AB = a,BC = CD = DA = b, <B = 90^o

Source: 2003 Swedish Mathematical Competition p5

March 21, 2021
geometryequal segments

Problem Statement

Given two positive numbers a,ba, b, how many non-congruent plane quadrilaterals are there such that AB=aAB = a, BC=CD=DA=bBC = CD = DA = b and ∠B=90o\angle B = 90^o ?
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