Question

What is the distance between the points?
*
T(2,-2)
W(4,5)

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

T(2,-2) , W(4,5)

The distance between them is

`|TW| = \sqrt{ ({2 - 4})^(2) + ({ - 2 - 5})^(2) } \\ = \sqrt{( { - 2})^(2) + ( { - 7})^(2) } \\ = √(4 + 49) \\ = √(53) \: \: \: \: \: \: \: \: \\ = 7.2801...`

We have the final answer as

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

Hope this helps you