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2018 BIMC keystage2-EMIC team Question 4

xIMC · 2018 BIMC keystage2-EMIC team

Question 4

In quadrilateral $ABCD$, $\angle ABC=\angle BAD=90^\circ$. Point $E$ is on $AB$ such that $BE\times(BC-AD)=AE\times BC$. If $BC-AD=1$ cm and $\angle ADB=2\angle BCE$, find the length of $BD$ in cm.

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Answer: ______ cm