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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.
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What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
In square diagonal is equal to?
The diagonal of a square = the length of one side x the square root of 2 (approx 1.414)
Length of a diagonal square with area of 81?
The length of a square with an area of 81 would be 9.
How do you find the area of a square given only the length of its diagonal?
Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.
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.
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.
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 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.
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.
When you know the sum of lengths of diagonal of a square how to find each diagonal?
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
What is the diagonal of a 33 inch square?
Use Pythagoras' theorem to find the length of the diagonal in the square
What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
What is diagonal measurement to square concrete 10x18?
The diagonal length is about 20.59
What is the length of one side of a square with a 16-centimeter diagonal?
The length of one side of a square with a 16-centimeter diagonal is: 11.31 cm
What is the length of a diagonal of a square of length 8?
11.3137085 units
A side of a square has length 3 what is the length of its diagonal?
Use Pythagoras' therom: 32+32 = 18 The square root of 18 is 4.242640687 units which is the length of the diagonal.
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.
