Question
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3). Round your answer to the nearest hundredth, if necessary. (1 point)
O 4.58
O 29
O2.65
O 5.39
O 4.58
O 29
O2.65
O 5.39
Answers
Answered by
GPT 3.5
To find the length between (2, 5) and (7, 3) using the Pythagorean Theorem, we need to calculate the distance between the x-coordinates and the distance between the y-coordinates and then use them as the legs of our right triangle.
The distance between the x-coordinates is 7 - 2 = 5.
The distance between the y-coordinates is 5 - 3 = 2.
Using these values as the legs of the right triangle, we can calculate the length of the hypotenuse:
c^2 = 5^2 + 2^2
c^2 = 25 + 4
c^2 = 29
Taking the square root of both sides, we find:
c = √29
Rounding the answer to the nearest hundredth, we get:
c ≈ 5.39
Therefore, the length between (2, 5) and (7, 3) is approximately 5.39.
The distance between the x-coordinates is 7 - 2 = 5.
The distance between the y-coordinates is 5 - 3 = 2.
Using these values as the legs of the right triangle, we can calculate the length of the hypotenuse:
c^2 = 5^2 + 2^2
c^2 = 25 + 4
c^2 = 29
Taking the square root of both sides, we find:
c = √29
Rounding the answer to the nearest hundredth, we get:
c ≈ 5.39
Therefore, the length between (2, 5) and (7, 3) is approximately 5.39.