Question

Find the distance between the points J( – 8,0) and K(1, 4).

The exact distance between the two points is

Answer 1

The answer is

`√(97) \: \: units`

Explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

`|JK| = \sqrt{ ({ - 8 - 1})^(2) + ({0 - 4})^(2) } \\ = \sqrt{ ({ - 9})^(2) + ( { - 4})^(2) } \\ = √(81 + 16) \\`

We have the final answer as

`√(97) \: \: \: units`

Hope this helps you