Question

What is the distance between A(28, 4) and B(4, 21)?
Help pls

Answer 1

The answer is

`√(865) \: \: \: or \: \: 29.41 \: \: \: \: units`

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

From the question the points are

A(28, 4) and B(4, 21)

The distance between them is

`|AB| = \sqrt{ ({28 - 4})^(2) + ({4 - 21})^(2) } \\ = \sqrt{ {24}^(2) + ( { - 17})^(2) } \\ = √(576 + 289) \: \: \: \: \: \: \: \\ = √(865) \\ = 29.410882339...`

We have the final answer as

`√(865) \: \: \: or \: \: 29.41 \: \: \: \: units`

Hope this helps you