In a triangle \( A B C, r_{1}=2 r_{2}=3 r_{3} ; D \) is the mid-poi...

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In a triangle \( A B C, r_{1}=2 r_{2}=3 r_{3} ; D \) is the mid-point of \( B C, \triangle \mathrm{ADC}=\theta . D L \) is perpendicular to \( A B \), Area of the triangle \( A L D \) is \( \Delta^{\prime} \).
\( D L \) is equal to
(a) \( (1 / 2) A B \)
(b) \( (1 / 2) A C \)
(c) \( (1 / 2) B C \)
(d) \( (1 / 2) A D \)
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