In a `triangleABC`, if `1/r^(2) + 1/r_(1)^(2) + 1/r_(2)^(2) + 1/r_(3)^(2) = (a^(2) + b^(2) + c^(2))/(Delta^(n))` , then n is equal to ………..

Explanation

To solve the problem, we need to analyze the given equation and find the value of \( n \).

### Step-by-Step Solution:

1. **Understanding the terms**:
We have the terms \( r \), \( r_1 \), \( r_2 \), and \( r_3 \) defined in terms of the area \( \Delta \) and the semi-perimeter \( s \) of triangle \( ABC \):
\[
r = \frac{\Delta}{s}, \quad r_1 = \frac{\Delta}{s-a}, \quad r_2 = \frac{\Delta}{s-b}, \quad r_3 = \frac{\Delta}{s-c}
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