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)
○ 14
○ 10
9.22
○ 100

Answer 1

To find the distance between (-1, 6) and (5, -2), we can use the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

First, we find the difference in the x-coordinates: 5 - (-1) = 6
Then, we find the difference in the y-coordinates: -2 - 6 = -8

Next, we plug these values into the Pythagorean Theorem formula:
distance = √((6)^2 + (-8)^2)
distance = √(36 + 64)
distance = √100
distance = 10

Therefore, the distance between (-1, 6) and (5, -2) is 10 units. So, the answer is closest to 10.