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Geometry Difficulty 3.0 AMC 10/12 Prove it Canada

A vertical line intersects $AC$ at $R$ and $BC$ at $S$ , forming $\triangle RSC$ . If the area of $\triangle RSC$ is $12.5$ , determine the coordinates of point $R$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.