Question

What is the distance between `(10, 8)` and #(-10, 6) #?

Answer 1

`2sqrt(101`

Explanation:

The distance formula for Cartesian coordinates is

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2`
Where `x_1, y_1`, and`x_2, y_2` are the Cartesian coordinates of two points respectively.
Let `(x_1,y_1)` represent `(10,8)` and `(x_2,y_2)` represent `(-10.6)`.
`implies d=sqrt((-10-10)^2+(6-8)^2`
`implies d=sqrt((-20)^2+(-2)^2`
`implies d=sqrt(400+4`
`implies d=2sqrt(100+1`
`implies d=2sqrt(101`

Hence the distance between the given points is `2sqrt(101)` units.