Question

Find the exact distance between (5, 3) and (-2, 8).

Answer 1

The answer is

`√(74) \: \: \: \: 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

(5, 3) and (-2, 8)

The distance between them is

`d = \sqrt{( {5 + 2})^(2) + ( {3 - 8})^(2) } \\ = \sqrt{ {7}^(2) + ({ - 5})^(2) } \\ = √(49 + 25) \\ = √(74) \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`√(74) \: \: \: \: units \\`

Hope this helps you