areca36
areca36 areca36
  • 02-03-2022
  • Mathematics
contestada

What is the perimeter of ABC with vertices at A (-11,4) B(-7,8) and C (-4,4)

Respuesta :

Medunno13
Medunno13 Medunno13
  • 02-03-2022

Answer:

Step-by-step explanation:

Using the distance formula,

[tex]AB=\sqrt{(-11-(-7))^{2}+(4-8)^{2}}=\sqrt{16+16}=4\sqrt{2}\\AC=\sqrt{(-11-(-4))^{2}+(4-4)^{2}}=7\\BC=\sqrt{(-7-(-5))^{2}+(8-4)^{2}}=\sqrt{4+16}=2\sqrt{5}\\\\[/tex]

So the perimeter is [tex]4\sqrt{2}+7+2\sqrt{5}[/tex]

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