Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.

A:2,-3
B:5,5

1 answer

To find the distance between two points A (2, -3) and B (5, 5), we can use the formula for the distance between two points in a coordinate plane:

d = √[(x2 - x1)² + (y2 - y1)²]

Substituting the values of A and B:

d = √[(5 - 2)² + (5 - (-3))²]

Simplifying:

d = √[3² + 8²]
d = √[9 + 64]
d = √73

The length between the two points A and B is approximately 8.54, rounded to the nearest hundredth.