Question 49
In the triangle $ABC$ on the side $AC$ a point $D$ is chosen such that $\angle BDC = \angle ABC$. If it is known that $\overline{AD} = 7\text{cm}$ and $\overline{DC} = 9\text{cm}$, calculate the length of $BC$ and the ratio $\overline{BD}:\overline{BA}$.