AIR MATH

Math Question

\( 3 . \) In right triangle \( A B C \) shown below, point \( D \) is on \( \overline{A B} \) and point \( E \) is on \( \overline{C B} \) such that \( \overline{A C} \| \overline{D E} \). If \( A B=15, B C=12 \), and \( E C=7 \), what is the length of \( \overline{B D} \) ?

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