Bot, Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth. (7, 8) And (3, 2)
To find the distance between the points (7, 8) and (3, 2) using the Pythagorean Theorem, we need to calculate the length of the hypotenuse of the right triangle formed by the two points.
First, let's find the difference in the x-coordinates:
Δx = 7 - 3 = 4
Next, let's find the difference in the y-coordinates:
Δy = 8 - 2 = 6
Now, using the Pythagorean Theorem, we can find the length (d) of the hypotenuse:
d = √(Δx² + Δy²)
d = √(4² + 6²)
d = √(16 + 36)
d = √52
d ≈ 7.21
Rounding to the nearest hundredth, the distance between the two points is approximately 7.21 units.