Question

Find the distance between the points G(-5, 4) and H(2, 6).

Answer 1

The answer is

`√(53) \: \: or \: \: 7.28 \: \: \: \: 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

G(-5, 4) and H(2, 6)

The distance between them is

`|GH | = \sqrt{ ({ - 5 - 2})^(2) + ({4 - 6})^(2) } \\ = \sqrt{ ({ - 7})^(2) + ( { - 2})^(2) } \: \\ = √(49 + 4) \\ = √(53) \: \: \: \: \: \: \: \: \\ = 7.280109`

We have the final answer as

`√(53) \: \: or \: \: 7.28 \: \: \: \: units`

Hope this helps you