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

2.65
2.65

5.38
5.38

29

Answer 1

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

Distance = square root of [(x2 - x1)^2 + (y2 - y1)^2]

For this problem, the points are (2, 5) and (7, 3). Plugging these values into the formula, we get:

Distance = sqrt[(7 - 2)^2 + (3 - 5)^2]
= sqrt[5^2 + (-2)^2]
= sqrt[25 + 4]
= sqrt[29]

Rounding the answer to the nearest hundredth, the length between the two points is approximately 5.38. Therefore, the correct answer is 5.38.