To apply the Pythagorean Theorem, we need to find the length of the hypotenuse of a right triangle formed by connecting the points (2, 5) and (7, 3).
The length of the horizontal side of the triangle is the difference between the x-coordinates of the two points:
7 - 2 = 5.
The length of the vertical side of the triangle is the difference between the y-coordinates of the two points:
3 - 5 = -2.
To find the length of the hypotenuse, we square the length of the horizontal side and the length of the vertical side, and then take the square root of their sums:
hypotenuse length = sqrt((5^2) + (-2)^2)
hypotenuse length = sqrt(25 + 4)
hypotenuse length = sqrt(29)
Rounding to the nearest hundredth, the length between (2, 5) and (7, 3) is approximately 5.38.
Therefore, the correct answer 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
2.65
2.65
29
29
5.38
5.38
4.58
1 answer
1 answer