For triangle \(ABC\), the length of \(\overline{AB}\) is 11 less than…

Question

Prompt

For triangle

A B C

, the length of

\overline{A B}

is 11 less than the length of

\overline{A C}

. Point

D

(not shown) lies on

\overline{A C}

such that

\overline{B D}

(not shown) is perpendicular to

\overline{A C}

. What is the value of

\frac{B C}{B D}