In the figure if \( \angle \mathrm{ACB}=\angle \mathrm{CDA}, \mathrm{AC}=8 \mathrm{~cm} \) and \...

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In the figure if \( \angle \mathrm{ACB}=\angle \mathrm{CDA}, \mathrm{AC}=8 \mathrm{~cm} \) and \( \mathrm{AD}=3 \mathrm{~cm} \), find \( \mathrm{BD} \).
a. \( \frac{53}{3} \mathrm{~cm} \)
b. \( \frac{55}{3} \mathrm{~cm} \)
c. \( \frac{64}{3} \mathrm{~cm} \)
d. \( \frac{39}{28} \mathrm{~cm} \)
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