Question
apply the phytagorean theorem to find the length between the two points. Round your answer to the nearest hundredth.
(3,2) (7,8)
(3,2) (7,8)
Answers
GPT 3.5
To find the distance between two points using the Pythagorean theorem, we need to find the length of the two sides of a right triangle.
The first point is (3, 2) which we can label as (x1, y1), and the second point is (7, 8) which we can label as (x2, y2).
The horizontal distance between the two points is given by x2 - x1, so the length of one side is 7 - 3 = 4.
The vertical distance between the two points is given by y2 - y1, so the length of the other side is 8 - 2 = 6.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the distance between the two points) by squaring the lengths of both sides and adding them together, and then taking the square root of the sum.
In this case, we have:
Hypotenuse^2 = 4^2 + 6^2
Hypotenuse^2 = 16 + 36
Hypotenuse^2 = 52
Hypotenuse = sqrt(52) ≈ 7.21
Rounding to the nearest hundredth, the distance between the two points (3, 2) and (7, 8) is approximately 7.21 units.
The first point is (3, 2) which we can label as (x1, y1), and the second point is (7, 8) which we can label as (x2, y2).
The horizontal distance between the two points is given by x2 - x1, so the length of one side is 7 - 3 = 4.
The vertical distance between the two points is given by y2 - y1, so the length of the other side is 8 - 2 = 6.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the distance between the two points) by squaring the lengths of both sides and adding them together, and then taking the square root of the sum.
In this case, we have:
Hypotenuse^2 = 4^2 + 6^2
Hypotenuse^2 = 16 + 36
Hypotenuse^2 = 52
Hypotenuse = sqrt(52) ≈ 7.21
Rounding to the nearest hundredth, the distance between the two points (3, 2) and (7, 8) is approximately 7.21 units.