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
2.65
2.65
29
29
4.58
4.58
Using the Pythagorean Theorem, the distance between (2, 5) and (7, 3) can be found by calculating the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates.
In this case, the x-coordinate difference is 7 - 2 = 5 and the y-coordinate difference is 3 - 5 = -2.
So, the distance can be calculated as sqrt((5)^2 + (-2)^2) = sqrt(25 + 4) = sqrt(29).
Rounded to the nearest hundredth, the length between (2, 5) and (7, 3) is 5.39.
Therefore, the correct answer is 5.39.