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
4.58
4.58
2.65
2.65
5.38
5.38
29
To find the length between two points (x1, y1) and (x2, y2) using the Pythagorean Theorem, you can use the formula:
Distance = square root of [(x2 - x1)^2 + (y2 - y1)^2]
For this problem, the points are (2, 5) and (7, 3). Plugging these values into the formula, we get:
Distance = sqrt[(7 - 2)^2 + (3 - 5)^2]
= sqrt[5^2 + (-2)^2]
= sqrt[25 + 4]
= sqrt[29]
Rounding the answer to the nearest hundredth, the length between the two points is approximately 5.38. Therefore, the correct answer is 5.38.