Question

Find the distance between points (3,6) and (7,9). Round your answer to the nearest tenth.

Answer 1

Answer:

• 5 units

Step-by-step explanation:

Distance between two points on a Cartesian 2d coordinate is given by the distance formula which is derived from the Pythagorean theorem

Let the points be $(x_1, y_1) \;and \;(x_2, y_2)$

The distance formula states that

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

Given points (3, 6) and (7, 9) we plug in these values and determine d

$d = \sqrt {(7 - 3)^2 + (9 - 6)^2}\\\\d = \sqrt {(4)^2 + (3)^2}\\\\d = \sqrt {16 + 9}\\\\d = \sqrt {25}\\\\d = 5$

Ans: 5