What is the length of the diagonal of the rectangle round your answer to the nearest hundredth if necessary
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In a rectangle, the diagonal forms a right triangle with the length and width of the rectangle as its legs. Let's say the length of the rectangle is "L" and the width is "W". The diagonal, which we want to find, is the hypotenuse.
Using the Pythagorean theorem, we have:
Diagonal^2 = Length^2 + Width^2
Plugging in the values, we get:
Diagonal^2 = L^2 + W^2
Now, let's assume the length is 6 units and the width is 8 units. Plugging in these values, we have:
Diagonal^2 = 6^2 + 8^2
= 36 + 64
= 100
Taking the square root of both sides, we get:
Diagonal = √100
= 10
Therefore, the length of the diagonal in this case is 10 units.