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IMAS 2021–2022 Junior — Round 1 Question 5

IMAS · IMAS 2021–2022 Junior — Round 1

Question 5

In the diagram below, $ABCD$ is a square and $P$ is a point inside it. It is known that $PA=1$ cm, $PB=2$ cm and $PC=3$ cm, what is the length, in cm, of $PD$?

Question illustration
  1. $\sqrt2+\sqrt3$
  2. $\sqrt6$
  3. 4
  4. $\sqrt{17}$
  5. 6