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MathNet 2026 — Part 02 Question 180

Math Olympiad Vault · MathNet 2026 — Part 02

Question 180

The perimeter of a rectangle $ABCD$ is $20~\mathrm{m}$. The shortest length, in meters, that the diagonal $AC$ can have is:
  1. $0$
  2. $\sqrt{50}$
  3. $10$
  4. $\sqrt{200}$
  5. $20 \sqrt{5}$