Apply the Pythagorean Theorem to find the length between the points 6,9 and 2,1 Round your answer to the nearest hundredth.

Answer 1

To find the length between the points (6, 9) and (2, 1), we can use the Pythagorean Theorem. The formula is:

c^2 = a^2 + b^2

where c represents the length between the two points, and a and b represent the differences in x and y coordinates respectively.

Let's calculate the differences first:

a = (2 - 6) = -4
b = (1 - 9) = -8

Now, we can substitute the values into the formula:

c^2 = (-4)^2 + (-8)^2
c^2 = 16 + 64
c^2 = 80

To find c, we take the square root of 80:

c = √80
c ≈ 8.94

Therefore, the length between the points (6, 9) and (2, 1) is approximately 8.94 units.