Question

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

Point A (2,-3) Point B (5,5)

A. 7.62
B. 11
C. 8.54
D. 73

Answer 1

First, we need to find the distance between the x-coordinates and the y-coordinates of the two points.

The x-coordinates difference: 5 - 2 = 3
The y-coordinates difference: 5 - (-3) = 8

Now we have two sides of a right triangle, and we can use the Pythagorean Theorem to find the length between the two points:

c^2 = a^2 + b^2
c^2 = 3^2 + 8^2
c^2 = 9 + 64
c^2 = 73
c = sqrt(73)
c ≈ 8.54

So, the length between Point A and Point B is approximately 8.54. Therefore, the answer is C. 8.54.