Question

Apply the Pythagorean Theorem to find the length Between the two points (2,-3) and (5,5). Round your answer to the nearest hundredth if necessary. .

Answer 1

To apply the Pythagorean Theorem, we need to find the distance between the two points.

The formula for applying the Pythagorean Theorem is:

Distance = √((x2-x1)^2 + (y2-y1)^2)

In this case, the coordinates of the first point are (2, -3) and the coordinates of the second point are (5, 5).

Using the formula, we have:

Distance = √((5-2)^2 + (5-(-3))^2)
= √(3^2 + 8^2)
= √(9 + 64)
= √73

Rounding to the nearest hundredth, the length between the two points is approximately 8.54.