Question

In the given figure $△ABC$ is equilateral. The ratio IE : IB = ____.

• A. 2 : 1
• B. 1 : 1
• C. 1 : 2
• D. 1 : 3

Answer 1

The correct option is C

1 : 2

$△ABC$ is equilateral .........(Given)

In $△IBE$ , $\angle IBC={30}^{\circ }$ .........(Bi bisects $\angle ABC$)

sin${30}^{\circ }$ = $\frac{r}{R}$ ...........(sin${30}^{\circ }$ = $\frac{1}{2}$)

$\Rightarrow$ r : R = IE : IB = 1 : 2