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2018 AMC 10A Question 16

AMC10 · 2018 AMC 10A

Question 16

Right triangle $ABC$ has leg lengths $AB=20$ and $BC=21.$ Including $\overline{AB}$ and $\overline{BC},$ how many line segments with integer length can be drawn from vertex $B$ to a point on hypotenuse $\overline{AC}?$
  1. $5$
  2. $8$
  3. $12$
  4. $13$
  5. $15$