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1964 AMC 12 Question 13

AMC12 · 1964 AMC 12

Question 13

A circle is inscribed in a triangle with side lengths $8,$ $13,$ and $17.$ Let the segments of the side of length $8,$ made by a point of tangency, be $r$ and $s,$ with $r\lt s.$ What is the ratio $r:s?$
  1. $1:3$
  2. $2:5$
  3. $1:2$
  4. $2:3$
  5. $3:4$