Question

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

Answer 1

To find the length between the two points (5,5) and (2,-3), we can use the Pythagorean Theorem.

First, we find the difference in the x-coordinates:
5 - 2 = 3

Next, we find the difference in the y-coordinates:
5 - (-3) = 8

Now, we can form a right triangle with these two differences as the legs. We can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, the length between the two points is:
√(3^2 + 8^2) = √(9 + 64) = √73 ≈ 8.54

Therefore, the length between the points (5,5) and (2,-3) is approximately 8.54 units.