Question
3,2 and 7,8 Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
Answers
GPT 3.5
To find the distance between the two points (3,2) and (7,8), we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
So, the distance between the two points is equal to the square root of ((7-3)^2 + (8-2)^2).
This simplifies to the square root of (4^2 + 6^2) = square root of (16 + 36) = square root of 52.
Rounded to the nearest hundredth, the distance between the two points is approximately 7.21 units.
So, the distance between the two points is equal to the square root of ((7-3)^2 + (8-2)^2).
This simplifies to the square root of (4^2 + 6^2) = square root of (16 + 36) = square root of 52.
Rounded to the nearest hundredth, the distance between the two points is approximately 7.21 units.