Question

Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Answer 1

The answer is

`6 √(2) \: \: \: or \: \: \: 8.50 \: \: \: \: 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 D(2, 0) and E(8, 6

The distance between them is

`|DE| = \sqrt{ ({2 - 8})^(2) + ({0 - 6})^(2) } \\ = \sqrt{( { - 6})^(2) + ( { - 6})^(2) } \\ = √(36 + 36) \\ = √(72) \: \: \: \: \: \: \: \: \: \: \\ = 6 √(2) \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813`

We have the final answer as

`6 √(2) \: \: \: or \: \: \: 8.50 \: \: \: \: units`

Hope this helps you