Question

Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

5.39
5.39

4.58
4.58

2.65
2.65

29

Answer 1

To find the distance between two points (x1, y1) and (x2, y2) using the Pythagorean Theorem, you can use the formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

In this case, the points are (2, 5) and (7, 3). Plugging in the values into the formula, we get:

Distance = √[(7 - 2)^2 + (3 - 5)^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.