Apply the Pythagorean theorem to find the length between (2,5) and (7,3) round to the nearest hundredth if necessary.

Answer 1

To apply the Pythagorean theorem, we need to calculate the distance between the two points using their coordinates.

Let's label the points:
Point A: (2, 5)
Point B: (7, 3)

The distance between these two points can be found using the following formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Substituting the coordinates of the points:
Distance = √((7 - 2)² + (3 - 5)²)
Distance = √(5² + (-2)²)
Distance = √(25 + 4)
Distance = √29

Rounding to the nearest hundredth, the distance between (2, 5) and (7, 3) is approximately 5.39.