If \( \triangle \mathrm{ABC} \) is an equilateral triangle of side a and \( \mathrm{D} \) is a p...

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If \( \triangle \mathrm{ABC} \) is an equilateral triangle of side a and \( \mathrm{D} \) is a point on \( \mathrm{BC} \) such that \( \mathrm{BD}=\frac{1}{3} \mathrm{BC} \), then \( \mathrm{AD} \) is equal to:
a. \( 1.4 \mathrm{a} \)
b. \( 2.8 \mathrm{a} \)
c. \( \frac{\sqrt{7}}{3} \mathrm{a} \)
d. \( \frac{\mathrm{a}}{4} \)
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