Question

Apply the Pythagorean Theorem to find the length between (2, 5)
and (7, 3)
. Round your answer to the nearest hundredth, if necessary.
Responses

2.65


4.58


5.39


29

Answer 1

To find the distance between two points using the Pythagorean Theorem, we need to calculate the distance between their x-coordinates and y-coordinates separately.

The x-coordinate difference is (7 - 2) = 5.
The y-coordinate difference is (3 - 5) = -2.

Using the Pythagorean Theorem, the distance is calculated as follows:

Distance = √(x-coordinate difference)^2 + (y-coordinate difference)^2
Distance = √(5)^2 + (-2)^2
Distance = √25 + 4
Distance = √29

Rounded to the nearest hundredth, the distance is 5.39.

Therefore, the correct answer is 5.39.