Question

Find the distance between S(-4, -2) and T(3, 4)

Answer 1

The answer is

`√(85) \: \: \: or \: \: 9.21 \: \: \: \: \: 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

S(-4, -2) and T(3, 4)

The distance between them is

`|ST| = \sqrt{ ({ - 4 - 3})^(2) + ({ - 2 - 4})^(2) } \\ = \sqrt{ ({ - 7})^(2) + ({ - 6})^(2) } \\ = √(49 + 36) \\ = √(85) \: \: \: \: \: \: \: \: \: \: \\ = 9.21954...`

We have the final answer as

`√(85) \: \: \: or \: \: 9.21 \: \: \: \: \: units`

Hope this helps you