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1953 AMC 12 Question 49

AMC12 · 1953 AMC 12

Question 49

The coordinates of $A,$ $B$ and $C$ are $(5,5),$ $(2,1)$ and $(0,k)$ respectively. The value of $k$ that makes $\overline{AC}+\overline{BC}$ as small as possible is:
  1. $3$
  2. $4\dfrac12$
  3. $3\dfrac67$
  4. $4\dfrac56$
  5. $2\dfrac17$