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Let \( \mathrm{ABC} \) be a right triangle with length of side \( \mathrm{AB}=3 \) and hypotenuse \( \mathrm{AC}=5 \).
\( \mathrm{P} \)
If \( \mathrm{D} \) is a point on \( \mathrm{BC} \) such that \( \frac{\mathrm{BD}}{\mathrm{DC}}=\frac{\mathrm{AB}}{\mathrm{AC}} \), then \( \mathrm{AD} \) is equal to
W
(A) \( \frac{4 \sqrt{3}}{3} \)
(B) \( \frac{3 \sqrt{5}}{2} \)
(C) \( \frac{4 \sqrt{5}}{3} \)
(D) \( \frac{5 \sqrt{3}}{4} \)
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