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11.3137085 units

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15y ago

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What is the length of a diagonal of a square with a side length of 8?

8*sqrt(2) The diagonal of the square would be the hypotenuse of the right triangle formed by two of the sides of the square.


What is the length of a diagonal of a square with a side of length 8?

About 11.31 units.


What is the length of the diagonal of a square with an area of 64?

To find the length of the diagonal of a square with an area of 64 square units, we first need to calculate the side length of the square. Since the area of a square is side length squared (A = s^2), we can find the side length by taking the square root of the area (s = √A). In this case, the side length of the square is 8 units. To find the length of the diagonal, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2). Since a square can be divided into two right triangles with the diagonal as the hypotenuse, we can calculate the diagonal length using d = √(s^2 + s^2), where d is the diagonal length and s is the side length. Substituting the side length of 8 units into the formula, we get d = √(8^2 + 8^2) = √(64 + 64) = √128 = 8√2 units. Therefore, the length of the diagonal of a square with an area of 64 square units is 8√2 units.


How do you find the side of a square if you know its diagonal?

Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.


How is the length of a diagonal of a square found?

As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.


What is the length of the diagonal of a square with a side length of 5 in?

The diagonal length = 7.07 inches.


What is the length of the diagonal of a square with side lengths of 8 cm?

The square root of 128, approxiametaly 11.313


What is the length of a diagonal of a square if each side is 8 centimeters?

A diagonal of a square measures: Side X sqrt(2).Approximately (8 cm) X (1.414) = 11.312 cm


The length of a diagonal of a square is 8 cm What is the length of each side of the square?

About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64


What is the diagonal length of a square with a 900sq ft area?

The diagonal length of a square with a 900 square foot area is: 42.43 feet.


What is the diagonal length of a 40x40 square?

The diagonal length of a square can be calculated using the formula (d = a\sqrt{2}), where (a) is the length of a side. For a 40x40 square, the diagonal length is (d = 40\sqrt{2}), which is approximately 56.57 units.


How to calculate diagonal of square?

If the length of a side of the square is S units then the diagonal is S*sqrt(2) units in length.