Resposta :

BC = 16 cm 

AB² = 4² + 16² 
AB² = 16 + 256
AB² = 272 

AB = √272
AB = 4√17


AB + BC
ABC = 4√17 + 16
ABC = 4.(4 +√17) 

Alternativa (A)
[tex]16+\sqrt{16^2+4^2}=16+\sqrt{256+16}=16+\sqrt{272}[/tex]

[tex]=16+\sqrt{16.17}=16+4\sqrt{17}[/tex]



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