Question

Use angle bisector theorem, find the missing side of triangle.

• A. $\frac{75}{18}$
• B. $\frac{7}{18}$
• C. $\frac{77}{18}$
• D. None of the above

Answer 1

The correct option is C $\frac{77}{18}$

CD is angle bisector of $\angle BCA$
$\frac{BC}{BD}=\frac{AC}{AD},\frac{18}{7}=\frac{11}{AD}$

$AD=\frac{11\times 7}{18}$

$AD=\frac{77}{18}$