Question

Apply the pythagorean theorem to find the length between (2, 5) and (7, 3) round your answer to the nearest hundred, if necessary. The available responses are: 29, 5.39, 2.65, and 4.58

Answer 1

To find the distance between two points, we can use the Pythagorean theorem.

Let's label the points as follows:
Point 1: (x1, y1) = (2, 5)
Point 2: (x2, y2) = (7, 3)

The distance formula is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the given values:
Distance = √((7 - 2)^2 + (3 - 5)^2)
Distance = √(5^2 + (-2)^2)
Distance = √(25 + 4)
Distance = √29

Rounding to the nearest hundred gives:
Distance ≈ 5.39

Therefore, the closest option is 5.39.