To apply the Pythagorean theorem, we need to find the distance between the two given points, which represents the lengths of the legs of a right triangle.
Using the distance formula, the length between (2, 5) and (7, 3) can be found as follows:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((7 - 2)^2 + (3 - 5)^2)
= sqrt(5^2 + (-2)^2)
= sqrt(25 + 4)
= sqrt(29)
Rounding to the nearest hundredth, the length between the two given points is approximately 5.39.
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
5.38
5.38
29
29
4.58
1 answer