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2022 Polish Junior Math Olympiad Second Round

Source: 2022 Polish Junior Math Olympiad Second Round

May 21, 2023
geometrgeometry

Problem Statement

The line segments ABAB and CDCD are perpendicular and intersect at point XX. Additionally, the following equalities hold: AC=BDAC=BD, AD=BXAD=BX, and DX=1DX=1. Determine the length of segment CXCX.
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