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

Answer 1

To apply the Pythagorean Theorem, we first need to find the lengths of the horizontal and vertical sides of the right triangle formed by the two given points.

The horizontal side is the difference between the x-coordinates:

5 - (-1) = 6

The vertical side is the difference between the y-coordinates:

-2 - 6 = -8

Now we can use these lengths to find the hypotenuse of the right triangle:

c^2 = (6)^2 + (-8)^2
c^2 = 36 + 64
c^2 = 100

Taking the square root of both sides:

c = √100
c = 10

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