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SASMO 2022 Grade 10 Question 25

SASMO · SASMO 2022 Grade 10

Question 25

Quadrilateral $ABCD$ is inscribed in a circle with diameter $BD$. Point $E$ is on side $AD$ and $CE\perp AD$. The area of $ABCD$ is 36 and $CD=CB$. What is the length of $AE$?

Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.

Question illustration