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

4.58
4.58

5.39
5.39

2.65
2.65

29

Answer 1

To find the length between two points using the Pythagorean Theorem, you need to find the differences in x and y coordinates and then use these differences to calculate the length.

The difference in x coordinates is 7 - 2 = 5.
The difference in y coordinates is 3 - 5 = -2.

Using the Pythagorean Theorem, you can calculate the length:
length = sqrt((5)^2 + (-2)^2)
= sqrt(25 + 4)
= sqrt(29)

Rounding to the nearest hundredth, the length is approximately 5.39.

Therefore, the correct response is: 5.39