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SASMO 2020 Grade 8 Question 23

SASMO · SASMO 2020 Grade 8

Question 23

In the diagram, $ABC$ is right-angled at $C$. Points $D,E$ lie on $BC,AC$ with $BD:DC=2:3$, $AE:EC=3:2$, $AD=4$ and $BE=\sqrt{10}$. Find $57\times AB^2$.

Question illustration

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).