If a `DeltaABC` is right angled at B, then the diameter of the incircle of the triangle is

Options

A. 2(c+ a - b)
B. c+a - 2b
C. c + a- b
D. none of these

Explanation

To find the diameter of the incircle of a right-angled triangle \( \Delta ABC \) where the right angle is at \( B \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Triangle Properties**:
We know that triangle \( ABC \) is right-angled at \( B \). Let \( a \), \( b \), and \( c \) be the lengths of the sides opposite to vertices \( A \), \( B \), and \( C \) respectively. Here, \( c \) is the hypotenuse.

2. **Calculate the Semi-Perimeter**:
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