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MathNet 2006 — Part 02 Question 187

Math Olympiad Vault · MathNet 2006 — Part 02

Question 187

In the figure to the side, $ABCD$ is a rectangle and $ABE$ and $CDF$ are right-angled triangles. The area of ​​the triangle $ABE$ is $150~\mathrm{cm}^2$ and the segments $AE$ and $DF$ measure, respectively, $15~\mathrm{cm}$ and $24~\mathrm{cm}$. How long is segment $CF$?

Question illustration