Apply the Pythagorean Theorem to find the length between the two points. Point A is (2,-3) & Point B is (5, 5). Round your answer to the nearest hundredth, if necessary.

Responses
1) 7.62
2) 8.54
3) 73
4) 11

1 answer

To find the length between two points using the Pythagorean Theorem, we can use the formula:

length = √[(x2 - x1)^2 + (y2 - y1)^2]

So, for point A (2, -3) and point B (5, 5), we have:

length = √[(5 - 2)^2 + (5 - (-3))^2]
= √[3^2 + 8^2]
= √[9 + 64]
= √73

Rounded to the nearest hundredth, the length between the two points is approximately 8.54.

Therefore, the correct answer is option 2) 8.54.