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2014 KIMC keystage2-EMIC individual Question 8

xIMC · 2014 KIMC keystage2-EMIC individual

Question 8

$M$ is the midpoint of the side $CD$ of a square $ABCD$ of side length 24 cm. $P$ is a point such that $PA=PB=PM$. What is the minimum length, in cm, of $PM$?