Question

Use the distance formula to find AB if A (1,6) and B (4,2)

Answer 1

The answer is

5 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 (1,6) and B (4,2)

The distance between them is

`|AB| = \sqrt{ ({1 - 4})^(2) + ({6 - 2})^(2) } \\ = \sqrt{ ({ - 3})^(2) + {4}^(2) } \\ = √(9 + 16) \\ = √(25) \: \: \: \: \: \: \: \: \\ = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

5 units

Hope this helps you