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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

For triangle $ABC$, the length of $AB$ is 11 less than the length of $AC$. Point $D$ (not shown) lies on $AC$ such that $BD$ (not shown) is perpendicular to $AC$. What is the value of $BC/BD$?

1

32/21

2

1.523

3

1.524