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If you know the length of the side, multiply it by the square root of 2.

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Q: How do you find the diagonal of a square?
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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.


If you have the diagonal and with of a rectangle how do you find the Perimeter?

Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.


How do you find the distance from corner to corner on a rectangle?

Diagonal of a rectangle or square = square root of ( length2 + width2 )


How do you find area of square if diagonal is given?

Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2


What is the diagonal measurement of a square 24 feet x 24 feet?

Ah, what a lovely question! To find the diagonal measurement of a square, we can use the Pythagorean theorem. So, for a square that is 24 feet by 24 feet, we can use the formula diagonal = √(side length squared + side length squared). Plugging in the values, we get diagonal = √(24^2 + 24^2) = √(576 + 576) = √1152 ≈ 33.94 feet.

Related questions

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 diagonal of a 33 inch square?

Use Pythagoras' theorem to find the length of the diagonal in the square


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.


If you have the diagonal and with of a rectangle how do you find the Perimeter?

Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.


How do you work out diagonal of a square?

It is the longest distance between two opposite corners of the square and it is possible to use Pythagoras' theorem to find the length of the diagonal


How do you find out the length of a diagonal in a square?

Use Pythagoras. The diagonal, and two sides of the square form a right angled triangle. So if each side of the square is x cm long, the diagonal is x*sqrt(2) cm long.


The length of a diagonal of a square is 24square root 2 millimeters find perimeter of the square?

The perimeter of a square with a diagonal length of 24 square root 2 millimeters (33.94 mm) is: 96 mm


Find the diagonal of a square?

Diagonal = sqrt (twice the square of a side) eg: square of side 8 units, d = sqrt(2 x 64) = sqrt 128 = 11.3137


Is a diagonal of a square perpendicular to its side always?

The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.


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 perimeter of a square with diagonal 12 centimeters?

The perimeter of a square with a diagonal of 12 centimeters is: 33.9 centimeters.In future, to find out the perimeter of a square when you only know it's diagonal, use Pythagoras or times the diagonal by 2.828427125.This number is irrational, and is like a pi for the diagonals of squares.I call it Tau.It is the relationship between the diagonal of all squares and there perimeter.


How do you find the distance from corner to corner on a rectangle?

Diagonal of a rectangle or square = square root of ( length2 + width2 )