Question

Find the distance between the points (3,6) and (10,4). The answer must be a whole number or a fully simplified radical expression do not round up

Answer 1

The answer is

`√(53) \: \: \: 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

(3,6) and (10,4).

The distance is

`d = \sqrt{ ({3 - 10})^(2) + ({6 - 4})^(2) } \\ = \sqrt{ ({ - 7})^(2) + {2}^(2) } \\ = √(49 + 4) \\ = √(53) \: \: \: \: \: \: \: \:`

We have the final answer as

`√(53) \: \: \: units`

Hope this helps you