Use the image to answer the question.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
(7, 6)
(3, 1)
To apply the Pythagorean Theorem, we first need to find the lengths of the two sides of the right triangle formed by the two points.
The vertical side can be found by subtracting the y-coordinates: 6 - 1 = 5.
The horizontal side can be found by subtracting the x-coordinates: 7 - 3 = 4.
Now, we can use the Pythagorean Theorem to find the length between the two points:
c^2 = a^2 + b^2
c^2 = 4^2 + 5^2
c^2 = 16 + 25
c^2 = 41
Taking the square root of both sides to solve for c, we get:
c ≈ √41
c ≈ 6.4
Rounding to the nearest hundredth, the length between the two points is approximately 6.4.