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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.
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 length of the diagonal of a square who's area is 64cm squared?
Area = 64 cm2 so length of side = 8cm Then, by Pythagoras, length of diagonal = sqrt[82 + 82] = 8*sqrt(2) = 11.3137 cm (to 4 dp)
What is the diagonal dimension of an 8 foot by 8 foot square?
Well, isn't that just a happy little question! When you have a square that's 8 feet by 8 feet, you can use the Pythagorean theorem to find the diagonal. Simply square the length of one side (8²), multiply it by 2, and then take the square root of that sum. So, the diagonal dimension of your square would be about 11.31 feet. Just imagine that diagonal stretching across your canvas, bringing a sense of balance and harmony to your artwork.
What is the diagonal measurement of an 8 ft square?
The diagonal measurement of an 8 ft square is: 11.31 feet.
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 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
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.
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 side length of a square with a diagonal of 16?
Oh, what a happy little question! To find the side length of a square with a diagonal of 16, we can use the Pythagorean theorem. Since the diagonal, side length, and side length form a right triangle, we can use the formula a^2 + b^2 = c^2, where a and b are the side lengths and c is the diagonal. In this case, we have 2 sides of the square equal to each other, so we can simplify the equation to 2a^2 = 16^2. Solving this, we find that the side length of the square is 8.
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 length of a diagonal of a square of length 8?
11.3137085 units
Find the length of a side of a square whose diagonal is 4cm?
a≈2.83cm The sides are the square root of 8 cm, approximately 2.8284 cm
What is the length of a diagonal of square whose side measures 8cm?
Using Pythagoras' theorem: 8 times the square root of 2 which is about 11,3137085 cm
What is the length of the diagonal of a square who's area is 64cm squared?
Area = 64 cm2 so length of side = 8cm Then, by Pythagoras, length of diagonal = sqrt[82 + 82] = 8*sqrt(2) = 11.3137 cm (to 4 dp)
What is the diagonal dimension of an 8 foot by 8 foot square?
Well, isn't that just a happy little question! When you have a square that's 8 feet by 8 feet, you can use the Pythagorean theorem to find the diagonal. Simply square the length of one side (8²), multiply it by 2, and then take the square root of that sum. So, the diagonal dimension of your square would be about 11.31 feet. Just imagine that diagonal stretching across your canvas, bringing a sense of balance and harmony to your artwork.
What is the length of a side of a square whose diagonal measures 4?
Designate the length by L. From the Pythagorean theorem, the length of the diagonal of a square, which divides the square into two right triangles, each with sides L (and the diagonal as hypotenuse to each right triangle), is square root of 2L2 = 4 (from the problem statement). Squaring both sides separately yields 2L2 = 16 or L = square root of 8 = 2 (square root of 2).
