Find the distance between these two points using the Pythagorean Theorem.
Which choice is correct?
You did not provide the points that we should find the distance between. Please provide the coordinates of the two points so that we can calculate the distance using the Pythagorean Theorem.
(-3,5) (7 , -1)
To find the distance between the two points (-3, 5) and (7, -1) using the Pythagorean Theorem, we can first find the horizontal distance and vertical distance between the two points, and then use the Pythagorean theorem which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
1. Horizontal distance:
(-3) - 7 = -10
2. Vertical distance:
5 - (-1) = 6
3. Using the Pythagorean Theorem:
c^2 = (-10)^2 + 6^2
c^2 = 100 + 36
c^2 = 136
c = sqrt(136)
c ≈ 11.66
Therefore, the distance between the two points (-3, 5) and (7, -1) is approximately 11.66 units.