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2016 TIMC keystage2-EMIC team Question 4

xIMC · 2016 TIMC keystage2-EMIC team

Question 4

In triangle $ABC$, $AB=7$ cm and $AC=9$ cm. $D$ is a point on $AB$ such that $BD=3$ cm. $E$ is a point on $AC$ such that the area of the quadrilateral $BCED$ is $\frac57$ of the area of triangle $ABC$. Find the length, in cm, of $CE$.

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Submission guidance: Give a full solution, as required by the examination cover.