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2003 AMC 12B Question 22

AMC12 · 2003 AMC 12B

Question 22

Let $ABCD$ be a rhombus with $AC = 16$ and $BD = 30.$ Let $N$ be a point on $\overline{AB},$ and let $P$ and $Q$ be the feet of the perpendiculars from $N$ to $\overline{AC}$ and $\overline{BD},$ respectively. Which of the following is closest to the minimum possible value of $PQ?$

Question illustration
  1. $6.5$
  2. $6.75$
  3. $7$
  4. $7.25$
  5. $7.5$