In a `triangle ABC` if `r_(1)` = 36 ,` r_(2) = 18` and `r_(3) = 12` , then the perimeter of the triangle , is

Options

A. 36
B. 18
C. 72
D. none of these

Explanation

To find the perimeter of triangle ABC given the inradii \( r_1 = 36 \), \( r_2 = 18 \), and \( r_3 = 12 \), we can follow these steps:

### Step 1: Use the relation between inradii and the circumradius
We know the formula:
\[ \frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3} = \frac{1}{r} \]
where \( r \) is the inradius of the triangle.
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