Question

Find the distance between (5,5) and (8,1)

Answer 1

5

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

Answer 2

`here \: is \: your \: answer...`

Explanation:

Let (x1,y1) = (5,5) and (x2,y2) = (8,1)

By using distance formula,

`d \: = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) }`

`d = \sqrt{ {(8 - 5)}^(2) + {(1 - 5)}^(2) }`

`d = \sqrt{ {(3)}^(2) + {( - 4)}^(2) }`

`d = √(9 + 16)`

`d = √(25)`

`d = 5 \: units`

Therefore, the distance between (5,5) and (8,1) is 5 units