1989 AHSME Problems/Problem 15

Problem

In $\triangle ABC$ , $AB=5$ , $BC=7$ , $AC=9$ , and $D$ is on $\overline{AC}$ with $BD=5$ . Find the ratio of $AD:DC$ .

$[asy] draw((3,4)--(0,0)--(9,0)--(3,4)--(6,0)); dot((0,0)); dot((9,0)); dot((3,4)); dot((6,0)); label("A", (0,0), W); label("B", (3,4), N); label("C", (9,0), E); label("D", (6,0), S);[/asy]$

$\textrm{(A)}\ 4:3\qquad\textrm{(B)}\ 7:5\qquad\textrm{(C)}\ 11:6\qquad\textrm{(D)}\ 13:5\qquad\textrm{(E)}\ 19:8$

Solution

1989 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 14	Followed by Problem 16
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1989 AHSME Problems/Problem 15

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