To find the distance between two points using the Pythagorean Theorem, we need to find the length of the legs of a right triangle formed by the points.
The given points are (2, 5) and (7, 3).
The length of the horizontal leg is the difference in x-coordinates:
7 - 2 = 5
The length of the vertical leg is the difference in y-coordinates:
3 - 5 = -2
We can use these leg lengths to find the hypotenuse (distance) using the Pythagorean Theorem:
distance = sqrt(5^2 + (-2)^2)
distance = sqrt(25 + 4)
distance = sqrt(29)
Rounding to the nearest hundredth, the distance is approximately 5.39.
Therefore, the correct response is: 5.38.
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)
Responses
29
29
2.65
2.65
5.38
5.38
4.58
1 answer
1 answer