how do you find the diagonal of a rectatngle with pythagoras theorem

Answer 1

To find the diagonal of a rectangle using the Pythagorean Theorem, you can use the formula:

Diagonal^2 = Length^2 + Width^2

where:
- Diagonal is the length of the diagonal of the rectangle
- Length is the length of the rectangle
- Width is the width of the rectangle

Once you have calculated the sum of the squares of the length and width, you can find the diagonal by taking the square root of that number:

Diagonal = √(Length^2 + Width^2)

Answer 2

Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary

Answer 3

To find the distance between two points using the Pythagorean Theorem, we need to calculate the horizontal and vertical distances between the two points, and then use these distances as the sides of a right triangle.

Given the points (-1, 6) and (5, -2), the horizontal distance is:

5 - (-1) = 6 units

The vertical distance is:

-2 - 6 = -8 units

Now, use these distances as the sides of a right triangle, and apply the Pythagorean Theorem:

Distance = √(6^2 + (-8)^2)
Distance = √(36 + 64)
Distance = √100
Distance = 10 units

Therefore, the distance between the points (-1, 6) and (5, -2) is 10 units.