# Geometry in the EMIC

Geometry Level 3

$$M$$ is the midpoint of the side $$CD$$ of a square $$ABCD$$ of side lenght $$24 cm$$. $$P$$ is a point such that $$PA=PB=PM$$. If the minimum length of $$PM$$ is $$K cm$$, what is the value of $$K$$ ?

×