Respuesta :

Answer:

Option (C).

Step-by-step explanation:

From the figure attached,

Ordered pairs of A, B and C are (-2, 5), B(4, -4) and (-2, -4).

Therefore, Length of AC = 5 + 4 = 9 units

Length of side BC = 4 + 2 = 6 units

By using Pythagoras theorem in the given triangle ABC,

Length of side AB = [tex]\sqrt{(AC)^2+(BC)^2}[/tex]

                              = [tex]\sqrt{9^2+6^2}[/tex]

                              = [tex]\sqrt{81+36}[/tex]

                              = [tex]\sqrt{117}[/tex]

                              = 10.817

                              ≈ 10.82 units

Therefore, Option (C) is the answer.

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