naenae6321
naenae6321 naenae6321
  • 18-10-2021
  • Mathematics
contestada

find the distance of line segment AB with point A(8,1) and point B(-8,5)​

Respuesta :

danielgeyfman
danielgeyfman danielgeyfman
  • 18-10-2021

Answer:

[tex]4\sqrt{17}[/tex]

Step-by-step explanation:

We remember the distance formula. Given two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex], the distance between them is [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex].

Aha! We can plug in these two points into the distance formula!.

We get [tex]\sqrt{(-8-8)^2+(5-1)^2}=\sqrt{(-16)^2+4^2}=\sqrt{256+16}=\sqrt{272}=4\sqrt{17}[/tex].

Therefore, the answer is [tex]\boxed{4\sqrt{17}}[/tex] and we're done!

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