Apply the Pythagorean Theorem to find the length between (2, 5) and (7,3). Round your answer to the nearest hundredth, if necessary.

A. 29
B. 2.65
C. 4.58
D. 5.39

1 answer

Using the Pythagorean Theorem, the distance between two points (x1, y1) and (x2, y2) can be calculated using the formula:

Distance = √[(x2-x1)^2 + (y2-y1)^2]

In this case, the points are (2, 5) and (7, 3), so x1 = 2, y1 = 5, x2 = 7, and y2 = 3.

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

Rounded to two decimal places, the distance is approximately 5.39.

Therefore, the answer is D. 5.39.