Çözüldü Triangle Inequality in Complex Numbers

If |z - 3 + i| = 2 and |z + 2 - 11i| = A, max(A) = ?
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w1 = z - 3 + i....(I)
|w1| = 2....(II)
w2 = 5 - 12i....(III)
|w2| = √[ 5^2 + (-12)^2 ] = √169 = 13 ....(IV)
| |w1| - |w2| | ≤ |w1 + w2| ≤ |w1| + |w2|....(V)
Substituting the complex numbers (I) and (III) with their absolute values (II) and (IV) in the relevant triangle inequality (V) of complex numbers;
|2 - 13| ≤ |z - 3 + i + 5 - 12i| ≤ 2 + 13
11 ≤ |z + 2 - 11i| ≤ 15
11 ≤ A ≤ 15
max(A) = 15

WolframAlpha Check: https://www.wolframalpha.com/input/?i=|z-3+i|=2,|z+2-11i|=A,max(A)=?

Sources:
https://planetmath.org/TriangleInequalityOfComplexNumbers
http://www.dchopkins.com/Kaul-cmplx-var.pdf
https://en.calameo.com/read/003359034c04f61e193fd