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1987 AMC 12 Question 25

AMC12 · 1987 AMC 12

Question 25

$ABC$ is a triangle: $A=(0,0),$ $B=(36,15),$ and both the coordinates of $C$ are integers. What is the minimum area $\triangle ABC$ can have?
  1. $\frac12$
  2. $1$
  3. $\frac32$
  4. $\frac{13}{2}$
  5. there is no minimum