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

1 answer

To find the distance between the two points (5, 5) and (2, -3), we need to use the Pythagorean theorem formula.

The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substitute the given points into the formula:
d = sqrt((2 - 5)^2 + (-3 - 5)^2)
d = sqrt((-3)^2 + (-8)^2)
d = sqrt(9 + 64)
d = sqrt(73)
d ≈ 8.54

Therefore, the distance between the two points is approximately 8.54 units.