4 tangent circles with collinear centers OMAPA Paraguay 2023.3
Source:
March 26, 2024
geometry
Problem Statement
In the figure, points , , and are on the same line and are the centers of four tangent circles at the same point. Segment measures and segment measures . The circumferences woth centers and are of equal size. We know that the sum of the areas of the two medium circles is equivalent to the sum of the areas of the small and large circles. What is the length of segment ?
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