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IMAS 2017 — Junior — Round 1 Question 19

IMAS · IMAS 2017 — Junior — Round 1

Question 19

In the figure below, $ABCD$ is a quadrilateral where $AB=4$ cm, $BC=6$ cm, $CD=5$ cm, $DA=3$ cm and $\angle BAD=90^\circ$. Find the length, in cm, of $AC$.

Question illustration
  1. 5
  2. 7
  3. $\sqrt{34}$
  4. $3\sqrt5$
  5. $2\sqrt{13}$