Question

Given A(8, 15) and B(0,9).

Calculate the distance from A to B by using the Pythagorean Theorem.

Answer 1

The answer is 10 units

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(8, 15) and B(0,9).

The distance from A to B is

`|AB| = \sqrt{ ({8 - 0})^(2) + ({15 - 9})^(2) } \\ = \sqrt{ {8}^(2) + {6}^(2) } \\ = √(64 + 36) \\ = √(100) \\ = 10 \: \: \: \: \: \:`

We have the final answer as

10 units

Hope this helps you