If in a `DeltaABC,Delta` = ( c + a - b) (a + b - c), then tan A is equal to

Options

A. `2/(sqrt3)`
B. `8/15`
C. `15/16`
D. none of these

Explanation

To solve the problem step by step, we need to find the value of \( \tan A \) given that \( \Delta = (c + a - b)(a + b - c) \) in triangle \( ABC \).

### Step-by-Step Solution:

1. **Understanding the Area of the Triangle**:
We know that the area \( \Delta \) of triangle \( ABC \) can also be expressed using Heron's formula:
\[
\Delta = \sqrt{s(s-a)(s-b)(s-c)}
...