If I is the incentre of a `DeltaABC` such that `angleA=60^(@)`, then AI =

Options

A. r
B. `r/2`
C. 2r
D. none of these

Explanation

To solve the problem of finding the distance \( AI \) from vertex \( A \) to the incenter \( I \) of triangle \( ABC \) where \( \angle A = 60^\circ \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula**:
The distance from a vertex \( A \) to the incenter \( I \) of a triangle can be calculated using the formula:
\[
AI = r \cdot \csc\left(\frac{A}{2}\right)
...