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By Pythagoras.
d^2 = s^2 + s^2
Since it is a square the two sides (s) are of equal length.
Hence
d^2 = 2s^2
Algebraically rearrange
s^(2) = d^(2)/2
s = sqrt( d^(2)/2)
So as an example
if d = 10 units.
Then
s = sqrt( 10^(2) /2)
s = sqrt(100 / 2)
s = sqrt(50)
s = 7.07106.... units., is the length of any one side of the square.
s
s
What else can I help you with?
What is the formula to find the diagonal of a rectangle?
The diagonal of a rectangle is the third and longest side of a triangle with sides the same as those of the rectangle, so its length is the square root of the sum of the squares of the lengths of the sides of the triangle, (Pythoagoras' Theorem) which are also the sides of the rectangle. If the rectangle is 3 inches by 4 inches, then the diagonal is the square root of 3 squared (= 9) and 4 squared (= 16) so the diagonal is the square root of 16 + 9 = 25, giving it the length of 5 inches.
What is the area of quadrilateral with 4 unequal sides?
You need to know the lengths of the sides and at least one angle or the length of a diagonal.
What is the length of a diagnal square with sides of length of 5?
The length of the diagonal of a square with sides 5 is 5√2. This is because of the properties of a 45-45-90 triangle.
What is the formula for the length of a square?
The length of a square is not determined by a formula, it is determined by measuring the square.
What is called the length of the sides of a square and a circle?
Do you mean perimeter?The sum of the lengths of the four sides of a square is the perimeterThe total length of the circumference of a circle is its perimeter
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.
What is the length of a diagonal of a square with sides of length 5?
7.0711 (rounded)
If a square has sides which are 2 inches how many inches is the length of the diagonal?
A square with 2-inch sides has a diagonal of: 2.828 inches.
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.
Similarities and differences of a square and rhombus?
The main difference between a square and a rhombus is that a square has all its angles equal to 90 degrees and a rhombus does not. A square has 4 lines of symmetry while rhombus only has 2. The diagonal lengths of a square are of the same measure. Rhombus diagonal lengths are of different measures. They are both a quadrilateral, all sides are equal in length, and opposite sides are parallel to each other.
What is the formula to find the diagonal of a rectangle?
The diagonal of a rectangle is the third and longest side of a triangle with sides the same as those of the rectangle, so its length is the square root of the sum of the squares of the lengths of the sides of the triangle, (Pythoagoras' Theorem) which are also the sides of the rectangle. If the rectangle is 3 inches by 4 inches, then the diagonal is the square root of 3 squared (= 9) and 4 squared (= 16) so the diagonal is the square root of 16 + 9 = 25, giving it the length of 5 inches.
What is the area of quadrilateral with 4 unequal sides?
You need to know the lengths of the sides and at least one angle or the length of a 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.
What is the length of a square's sides if its area is 5?
The lengths of a square's sides if its area is 5 is: 2.236
Calculate the approximate length of a diagonal of a square with sides of 11.1cm?
15.6977cm
What is a diagonal line of a sqare?
The length of a diagonal of a square with sides equal to 1 = the square root of 2 Therefore any diagonal will always be in multiples of the square root of 2
What is the length of a diagnal square with sides of length of 5?
The length of the diagonal of a square with sides 5 is 5√2. This is because of the properties of a 45-45-90 triangle.
