To find the length between two points using the Pythagorean Theorem, we need to find the distance between their x-coordinates and the distance between their y-coordinates, and then use these values to calculate the hypotenuse of the right triangle.
The x-coordinate of the first point is 2, and the x-coordinate of the second point is 7. So the distance between their x-coordinates is 7 - 2 = 5.
The y-coordinate of the first point is 5, and the y-coordinate of the second point is 3. So the distance between their y-coordinates is 5 - 3 = 2.
Now we can use the Pythagorean Theorem to find the length between the two points:
length = √(distance x ² + distance y ²)
= √(5² + 2²)
= √(25 + 4)
= √29
≈ 5.39
Therefore, the length between (2, 5) and (7, 3) is approximately 5.39.
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary
1 answer