Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(5, 5)
(2, 3)
(1 point)
Responses
8.54
11
73
7.62
To find the distance between the two points (5, 5) and (2, 3), we can use the Pythagorean Theorem:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) = (5, 5) and (x2, y2) = (2, 3)
d = sqrt((2 - 5)^2 + (3 - 5)^2)
d = sqrt((-3)^2 + (-2)^2)
d = sqrt(9 + 4)
d = sqrt(13)
d ≈ 3.61
Therefore, the distance between the two points is approximately 3.61 units.