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AMO 2027 Grades 8-9 SET 18 - Self-study Question 8

AMO · AMO 2027 Grades 8-9 SET 18 - Self-study

Question 8

Exercise 2. The figure below shows a quadrilateral $ABCD$ with $\angle BAD=\angle ADC=90^\circ$. The point $E$ is on the diagonal $BD$ for which $\angle CED=90^\circ$. Given that $AD=48$cm, $CD=84$cm and $=CE=72$cm, find the length, in centimeters, of $BD$.

**Editorial input convention:** Read the extra equals sign as a source printing typo: the intended given length is CE = 72 cm, as labelled in the figure. Enter BD in centimetres, as a number only.

Question illustration