Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
To apply the Pythagorean Theorem to find the length between two points, we need to know the coordinates of the two points. However, the information you provided does not include the coordinates of the two points. Please provide the coordinates of the two points so that we can calculate the length between them.
3,2
7,8
To find the length between the two points (3, 2) and (7, 8), we can use the Pythagorean Theorem.
First, we need to find the difference in x-coordinates and y-coordinates:
x2 - x1 = 7 - 3 = 4
y2 - y1 = 8 - 2 = 6
Then, we can use these differences to calculate the length between the points using the Pythagorean Theorem:
length = √((x2 - x1)^2 + (y2 - y1)^2)
length = √(4^2 + 6^2)
length = √(16 + 36)
length = √52
Rounding to the nearest hundredth, the length between the two points is approximately 7.21.
To apply the Pythagorean Theorem to find the length between two points, you'll need to know the coordinates of the two points. Let's assume we have two points, A(x1, y1) and B(x2, y2).
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we can consider the line segment connecting points A and B as the hypotenuse of a right triangle. The horizontal and vertical lines connecting the two points will be the other two sides of the triangle.
Using the coordinates of the two points, we can calculate the lengths of the horizontal and vertical sides of the triangle. Let's call the horizontal length Δx (change in x) and the vertical length Δy (change in y).
Δx = x2 - x1
Δy = y2 - y1
Once we have the lengths of the horizontal and vertical sides, we can apply the Pythagorean Theorem to find the length of the hypotenuse (the distance between the two points).
Distance^2 = Δx^2 + Δy^2
To find the actual distance between the two points, we take the square root of the sum of the squares:
Distance = sqrt(Δx^2 + Δy^2)
Now, you can substitute the values of Δx and Δy calculated from the given coordinates of points A and B into the formula above. Finally, round your answer to the nearest hundredth.