To find the distance between (-1, 6) and (5, -2) using the Pythagorean Theorem, we first need to find the length of both the horizontal and vertical legs of the right triangle formed by the two points.
The length of the horizontal leg is given by the difference in the x-coordinates: 5 - (-1) = 6.
The length of the vertical leg is given by the difference in the y-coordinates: -2 - 6 = -8.
Now we can use the Pythagorean Theorem which states that the square of the hypotenuse (the distance between the two points) is equal to the sum of the squares of the other two sides.
Using the horizontal leg as one side of the right triangle and the vertical leg as the other side, we can calculate the length of the hypotenuse:
c² = 6² + (-8)²
c² = 36 + 64
c² = 100
Taking the square root of 100, we find that the length of the hypotenuse (or the distance between the two points) 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. 10
2. 100
3. 9.22
4. 14
1 answer
7 answers