A) 6 cm
B) 12 cm
C) 18 cm
D) 20 cm
Correct Answer: C
Solution :
\[\because \frac{BE}{CE}=\frac{AB}{AC}\] is an exterior angle bisector Let \[CE=x,\]\[BE=BC+EC=12+x\] \[\Rightarrow \] \[\frac{12+x}{x}=\frac{10}{6}\Rightarrow (12+x)6=10x\] \[\Rightarrow \] \[2+6x=10x\Rightarrow 4x=72\] \[\Rightarrow \] \[x=18\,\,cm\]You need to login to perform this action.
You will be redirected in
3 sec