Question

Find the distance between the points E(3, 7) and F(6, 5).

The exact distance between the two points is

Answer 1

The answer is

`√(13) \: \: \: \: 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

E(3, 7) and F(6, 5)

The distance between them is

`|EF| = \sqrt{( {3 - 6})^(2) + ({7 - 5})^(2) } \\ = \sqrt{ ({ - 3})^(2) + {2}^(2) } \\ = √(9 + 4) \\ = √(13) \: \: \: \: \:`

We have the final answer as

`√(13) \: \: \: \: units`

Hope this helps you