Distance and the pythagorean theorem practice
Find the distance between (2, 3) and (4, -9). Round your answer to the nearest hundredth, if necessary
To find the distance between two points (x1, y1) and (x2, y2), we can use the Pythagorean theorem.
In this case, the points are (2, 3) and (4, -9).
Let's label the coordinates as follows:
(x1, y1) = (2, 3)
(x2, y2) = (4, -9)
The distance formula using the Pythagorean theorem is:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
distance = sqrt((4 - 2)^2 + (-9 - 3)^2)
distance = sqrt((2)^2 + (-12)^2)
distance = sqrt(4 + 144)
distance = sqrt(148)
To the nearest hundredth, the distance is approximately 12.17.