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SMO 2013 Junior Round 1 Question 8

SMO · SMO 2013 Junior Round 1

Question 8

Square $ABCD$ has side $8$ cm. Point $M$ lies on $CB$ with $CM=2$ cm. If $N$ varies on diagonal $DB$, find the least value of $CN+MN$.

Question illustration
  1. 8
  2. $6\sqrt2$
  3. 10
  4. $8\sqrt2$
  5. 12