apply Pythagorean theorem to find the length between (2,5) and (7,3).
To find the distance between two points using the Pythagorean theorem, you can use the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (2,5) and (7,3).
Let's substitute the coordinates into the formula:
Distance = √((7 - 2)^2 + (3 - 5)^2)
Distance = √(5^2 + (-2)^2)
Distance = √(25 + 4)
Distance = √29
So, the distance between the points (2,5) and (7,3) is √29 or approximately 5.39 units.