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)
O 9.22
O 100
O 14
O 10

Answer 1

To find the distance between two points using the Pythagorean Theorem, we need to find the length of the two legs of a right triangle and then use the theorem to determine the length of the hypotenuse, which represents the distance between the two points.

The two points are (-1, 6) and (5, -2).

First, we find the length of the horizontal leg:
Change in x = 5 - (-1) = 6.

Next, we find the length of the vertical leg:
Change in y = -2 - 6 = -8.

Now we can use the Pythagorean Theorem:
Distance = √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10

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