To find the distance between two points using the Pythagorean Theorem, we need to find the lengths of the horizontal and vertical sides of the right triangle formed by the two points.
The horizontal side is the difference between the x-coordinates of the two points: 5 - (-1) = 6.
The vertical side is the difference between the y-coordinates of the two points: -2 - 6 = -8.
Applying the Pythagorean Theorem, the length between the two points is:
Distance = √(horizontal side)^2 + (vertical side)^2
= √(6)^2 + (-8)^2
= √(36 + 64)
= √(100)
= 10
Therefore, the length between the points (-1, 6) and (5, -2) is 10.
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
1 answer
1 answer