Question

What is the length of the segment connecting the points A(1,3) and B(6,5)?

Answer 1

The answer is

`√(29) \: \: \: or \: \: \:5.38 \: \: \: units`

Explanation:

The length of the segment connecting 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(1,3) and B(6,5)

The length is

`|AB| = \sqrt{ ({1 - 6})^(2) + ({3 - 5})^(2) } \\ = \sqrt{ ({ - 5})^(2) + ( { - 2})^(2) } \\ = √(25 + 4) \\ = √(29)`

We have the final answer as

`√(29) \: \: \: or \: \: \:5.38 \: \: \: units`

Hope this helps you