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MathNet 2018-part-01 — 181 problems (EN–VI) Question 149

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 149

The rectangle $ABCD$ with $AB=240~\mathrm{cm}$ and $BC=288~\mathrm{cm}$ represents a sheet of paper that will be folded along the segment $EF$, where $E$ lies on $AD$ and $F$ lies on $BC$, so that the point $C$ lands on the midpoint of $AB$.
Question illustration

a) What is the length of $CC^{\prime}$?

b) What is the length of $EF$?