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)

Question

Responses

4.58
4.58

5.39
5.39

2.65
2.65

29

Answer 1

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

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates are:

Point 1: (2, 5)
Point 2: (7, 3)

Substituting these values into the formula, we get:

distance = √((7 - 2)^2 + (3 - 5)^2)
= √(5^2 + (-2)^2)
= √(25 + 4)
= √29

Rounding this value to the nearest hundredth, we get:

distance ≈ 5.39

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