Question

Find the distance between A(2,5) and B(-2,9)

Answer 1

The answer is

`4 √(2) \: \: or \: \: 5.656 \: \: \: 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

A(2,5) and B(-2,9)

The distance between them is

`|AB| = \sqrt{ ({2 + 2})^(2) + ({5 - 9})^(2) } \\ = \sqrt{ {4}^(2) + ({ - 4})^(2) } \\ = √(16 + 16) \\ = √(32) \\`

We have the final answer as

`4 √(2) \: \: or \: \: 5.656 \: \: \: units`

Hope this helps you