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

2.65
2.65

29
29

4.58
4.58

5.39

1 answer

The distance between two points (x1, y1) and (x2, y2) can be found using the Pythagorean Theorem, which states:
d = √((x2-x1)^2 + (y2-y1)^2)

Using the points (2, 5) and (7, 3):
d = √((7-2)^2 + (3-5)^2)
d = √(5^2 + (-2)^2)
d = √(25 + 4)
d = √29

Therefore, the distance between the points (2, 5) and (7, 3) is approximately 5.39.

So, the answer is 5.39.