find the distance between the points (-3,5) (7,-1) using the Pythagorean theorem
To find the distance between the points (-3,5) and (7,-1) using the Pythagorean theorem, we can treat the two points as the endpoints of a right triangle, with the distance between them being the hypotenuse of the triangle.
The distance formula between two points (x1, y1) and (x2, y2) is given by:
√((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the two points:
√((7 - (-3))^2 + (-1 - 5)^2)
√((10)^2 + (-6)^2)
√(100 + 36)
√136
≈ 11.66
Therefore, the distance between the points (-3,5) and (7,-1) is approximately 11.66 units.