To find the length between two points using the Pythagorean Theorem, we need to calculate the distance between the x-coordinates and the distance between the y-coordinates, and then use those distances to find the hypotenuse.
The distance between the x-coordinates is 5 - (-1) = 6 units.
The distance between the y-coordinates is -2 - 6 = -8 units.
To find the length between the two points, we can use the Pythagorean Theorem:
c^2 = a^2 + b^2
where c represents the hypotenuse and a and b represent the other two sides.
In this case:
c^2 = 6^2 + (-8)^2
c^2 = 36 + 64
c^2 = 100
Taking the square root of both sides, we find:
c = √100
c = 10
Therefore, rounding to the nearest hundredth, the length between the two points is approximately 10 units.
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
9.22
9.22
10
10
100
100
14
14
1 answer
1 answer