1964 AHSME Problem 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<s. What is the ratio r:s?

\textbf{(A)}\ 1:3 \qquad \textbf{(B)}\ 2:5 \qquad \textbf{(C)}\ 1:2 \qquad \textbf{(D)}\ 2:3 \qquad \textbf{(E)}\ 3:4

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.