Question

In $\Delta$ABC, the bisector of $\angle$B insects AC at D. If $\frac{AD}{DC}=\frac{3}{4}$ and $AB=7.5$, then BC$=$?

Answer 1

$\begin{array}{c}\frac{AD}{DC}=\frac{3}{4}\\ If,\angle Bbi\sec tsAC\\ \frac{AB}{AC}=\frac{AD}{DC}\\ \frac{7.5}{BC}=\frac{3}{4}\left[AB=7.5given\right]\\ BC=\frac{7.5\times 4}{3}\\ BC=10\end{array}$