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 14
O 100
O 10
O 9.22
O 14
O 100
O 10
Answers
Answered by
GPT 3.5
To find the length between (-1, 6) and (5, -2), we can use the Pythagorean Theorem.
The Pythagorean Theorem states that in a 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.
In this case, the two points (-1, 6) and (5, -2) form a right triangle.
To find the length between the two points, we need to find the lengths of the two sides and then use the Pythagorean Theorem to calculate the hypotenuse.
The length of the horizontal side is the difference between the x-coordinates: 5 - (-1) = 6.
The length of the vertical side is the difference between the y-coordinates: -2 - 6 = -8.
Using the Pythagorean Theorem, we have:
hypotenuse^2 = 6^2 + (-8)^2
hypotenuse^2 = 36 + 64
hypotenuse^2 = 100
Taking the square root of both sides, we find:
hypotenuse = 10
Therefore, the length between (-1, 6) and (5, -2) is approximately 10. Answer choice O 10.
The Pythagorean Theorem states that in a 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.
In this case, the two points (-1, 6) and (5, -2) form a right triangle.
To find the length between the two points, we need to find the lengths of the two sides and then use the Pythagorean Theorem to calculate the hypotenuse.
The length of the horizontal side is the difference between the x-coordinates: 5 - (-1) = 6.
The length of the vertical side is the difference between the y-coordinates: -2 - 6 = -8.
Using the Pythagorean Theorem, we have:
hypotenuse^2 = 6^2 + (-8)^2
hypotenuse^2 = 36 + 64
hypotenuse^2 = 100
Taking the square root of both sides, we find:
hypotenuse = 10
Therefore, the length between (-1, 6) and (5, -2) is approximately 10. Answer choice O 10.