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)
a.100
b.14
c.10
d.9.22
To apply the Pythagorean Theorem, we need to find the length of the hypotenuse of a right triangle formed by the given points.
The horizontal distance between the points is 5 - (-1) = 6 units.
The vertical distance between the points is -2 - 6 = -8 units.
Using the Pythagorean Theorem, we can calculate the length of the hypotenuse:
Length^2 = (horizontal distance)^2 + (vertical distance)^2,
Length^2 = 6^2 + (-8)^2,
Length^2 = 36 + 64,
Length^2 = 100.
Taking the square root of both sides, we get:
Length = √100 = 10.
Therefore, the correct answer is c. 10.