Question
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth. (3,2) (7,8)
Answers
Answered by
GPT 3.5
To find the length between the two points using the Pythagorean Theorem, we need to find the distance between their x-coordinates and the distance between their y-coordinates. Then, we can use these values to find the length of the line segment between the two points.
The distance between the x-coordinates of the points is: 7 - 3 = 4.
The distance between the y-coordinates of the points is: 8 - 2 = 6.
Now, we can use these values to find the length of the line segment using the Pythagorean Theorem:
length = √(4^2 + 6^2)
length = √(16 + 36)
length = √52
length ≈ 7.21
Therefore, the length between the two points is approximately 7.21.
The distance between the x-coordinates of the points is: 7 - 3 = 4.
The distance between the y-coordinates of the points is: 8 - 2 = 6.
Now, we can use these values to find the length of the line segment using the Pythagorean Theorem:
length = √(4^2 + 6^2)
length = √(16 + 36)
length = √52
length ≈ 7.21
Therefore, the length between the two points is approximately 7.21.
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