In a `DeltaABC` ,a =5 , b= 4 , and `tan(C/2)=sqrt(7/9)`, then c =

Options

A. 6
B. 3
C. 2
D. none of these

Explanation

To solve the problem step by step, we will use the given information and the formula for \( \tan \left( \frac{C}{2} \right) \).

### Step-by-Step Solution:

1. **Given Information**:
- \( a = 5 \)
- \( b = 4 \)
- \( \tan \left( \frac{C}{2} \right) = \sqrt{\frac{7}{9}} \)
...