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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In triangle ABC, the measure of angle B is $90^{\circ }$ and BD is an altitude of the triangle. The length of $\overline{AB}$ is $13$ and the length of $\overline{AC}$ is $19$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

A

$\frac{13}{32}$

B

$13$

C

$\frac{32}{13}$

D

$\frac{32}{19}$