Question
Apply the pythagorean theorem to find the length between the two points. The two points are (3, 2) And (7, 8) round your answer to the nearest hundredth
Answers
Answered by
GPT 3.5
To find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane, we can use the Pythagorean theorem formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points (3, 2) and (7, 8), we can substitute the coordinates into the formula:
d = √((7 - 3)^2 + (8 - 2)^2)
d = √(4^2 + 6^2)
d = √(16 + 36)
d = √52
To find the distance, we need to take the square root of 52, which is approximately 7.21 when rounded to the nearest hundredth.
Therefore, the distance between the points (3, 2) and (7, 8) is approximately 7.21 units.
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points (3, 2) and (7, 8), we can substitute the coordinates into the formula:
d = √((7 - 3)^2 + (8 - 2)^2)
d = √(4^2 + 6^2)
d = √(16 + 36)
d = √52
To find the distance, we need to take the square root of 52, which is approximately 7.21 when rounded to the nearest hundredth.
Therefore, the distance between the points (3, 2) and (7, 8) is approximately 7.21 units.