Respuesta :
Answer:
5
Step-by-step explanation:
Imagine a triangle with two of the corner points being the points (5,5) and (8,1)
The length and width would be 3 and 4 to find the hypotenuse (distance) do
3^2+4^2=x^2
9+16=x^2
25=x^2
x=5
[tex]here \: is \: your \: answer...[/tex]
Step-by-step explanation:
Let (x1,y1) = (5,5) and (x2,y2) = (8,1)
By using distance formula,
[tex]d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex]d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} } [/tex]
[tex]d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} } [/tex]
[tex]d = \sqrt{9 + 16} [/tex]
[tex]d = \sqrt{25} [/tex]
[tex]d = 5 \: units[/tex]
Therefore, the distance between (5,5) and (8,1) is 5 units