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

10
10

9.22
9.22

14
14

100

Answer 1

The length between (-1, 6) and (5, -2) can be found by applying the Pythagorean Theorem. The formula for the Pythagorean Theorem is:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the other two sides of the right triangle.

In this case, we can consider the difference in x-coordinates (-1 - 5 = -6) as one side of the triangle, and the difference in y-coordinates (6 - (-2) = 8) as the other side of the triangle.

Using the Pythagorean Theorem, we can calculate the length of the hypotenuse:

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

Taking the square root of both sides, we get:

c = 10

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