Apply the Pythagorean theorem to find the distance between (5, 5) and (2, -3) round to the nearest hundredth
To find the distance between two points, we can use the Pythagorean theorem.
Let's label the first point as (x1, y1) = (5, 5) and the second point as (x2, y2) = (2, -3).
The formula to find the distance between two points using the Pythagorean theorem is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given values, we have:
distance = √((2 - 5)^2 + (-3 - 5)^2)
distance = √((-3)^2 + (-8)^2)
distance = √(9 + 64)
distance = √73
Rounding to the nearest hundredth, the distance between (5, 5) and (2, -3) is approximately 8.54.