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IMSO 2023 Mathematics — International Short Answer Question 19

IMSO Maths · IMSO 2023 Mathematics — International Short Answer

Question 19

In the diagram below, ABC is a right-angled triangle where $\angle A=90^\circ$. M is the midpoint of BC, D is on BC such that AD is perpendicular to BC, and E is on the extension of BC such that AM is perpendicular to AE. If AM=22 and DM=10, what is the length of CE?

Question illustration