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MathNet 2026 — Part 06 Question 26

Math Olympiad Vault · MathNet 2026 — Part 06

Question 26

Let $A$, $B$, $C$, $D$, $E$ be five points in the plane with distances given (in some units) as
$$
|AB| = 12,\ |BC| = 50,\ |CD| = 38,\ |AD| = 100,\ |BE| = 30,\ |CE| = 40.
$$
Find the distance $|ED|$.