In a triangle \(\triangle ABC\) with **\(r_A = 5 ,r_B = 12, r_C =20 \)**, let **\(\Phi\)** denote its perimeter.

Find the value of **\(10 \Phi \)**.

**Details and Assumption**:

- \(r_A , r_B , r_C\) are radii of excircles opposite to vertices \(A,B,C\).

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