Question

Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

9.22
9.22

14
14

100
100

10

Answer 1

To apply the Pythagorean Theorem, we need to find the length of the two legs of the right triangle formed by the given points.

The distance between the x-coordinates is 5-(-1) = 6 units.
The distance between the y-coordinates is -2-6 = -8 units.

Using the Pythagorean Theorem, we have:
Length^2 = (6)^2 + (-8)^2
Length^2 = 36 + 64
Length^2 = 100

Taking the square root of both sides, we have:
Length = √100
Length = 10.

The length between the points (-1, 6) and (5, -2) is 10 units.