# 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.

### 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 do you find lengths of sides of square when know length of its diagonal?

A square has 4 sides of equal length (say x). The diagonal length = x * (2)^0.5 = 1.414x, from Pythagorus's theorem. So, dividing the diagonal length by the square root of 2 will be the answer.

### What is the side length of a square with a diagonal of 16?

The side lengths of a square with a diagonal of 16 is: 11.31.

### What is the diagonal of a 33 inch square?

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

### 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.

### 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)

### How do you find the length of each side of a square?

If you are given the area of the square, then the length of each side is the square root of the area. If you are given the length of the diagonal of a square, then the lenght of each side is equal to the length of the diagonal divided by the square root of 2. l=sqrt(a) l=d/[sqrt(2)] l=length of side, d=diagonal, a=area, sqrt means square root

### 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 the diagonal of the square?

well, it depends on how big your square is.

### What is the length of a diagonal of a square with the size of 208.7 ft?

The length of the diagonal is 208.7*sqrt(2) = 295.1 ft.

### How do you get a diagonal of a square?

draw a straight line from one corner to its opposite corner the length of the diagonal is the length of one side times the square root of 2

### How do you find the diameter of a square?

Squares do not have diameters; circles have them. If you are referring to the diagonal of a square, then you would use Pythagorean's Theorem to determine the length of the diagonal. 'Square' the length of one side and multiply by 2, then take the square root of that number to get the length of the diagonal. that is = under root( 2 s) where s= side

### What is the length of the diagonal of a square whose side lengths are 7 square root 2?

The length of the diagonal of a square whose side lengths are 7 square root 2 (9.89949494) is: 14 units.

### 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

### 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 count the number of squares crossed by the diagonal in a rectangle?

To find the length of a diagonal in a rectangle, use the Pythagorean method. Diagonal length = square root(length squared + height squared).

### 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 the diagonal of a square with a 15-decimeter side?

The diagonal is 21.21 decimeters.

### How do you find the length of a rectangle knowing ONLY the diagonal and the width?

You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.

### What is the diagonal of square with a side of 80?

By the Pythagorean theorem, the diagonal length of a square with a side length of 80 units is √[2(80)2] = 80√2 units.

### 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 are the steps taken to get the diagonal measurement of a rectangle?

-- Multiply the rectangle's length by itself. ('square' the length) -- Multiply the rectangle's width by itself. ('square' the width) -- Add the two results. -- Find the square root of the sum. It is the length of the diagonal.

### The length of the diagonal of a square is 22 feet what is the length of each side of the square?

15.556 feet (rounded)

### What is the length of a rectangle if the diagonal and height are given?

If d is the diagonal and h is the height Let, l=length of rectangle we have By pythagrous theorem d square= l square + h square therefore l square= d square - h square

### What is the diagonal of a 20ft x 20ft square?

Since a square has right angles, you can use the Pythagorean Theorem to calculate the diagonal. Specifically, the diagonal of a square is equal to the length of a side, multiplied by the square root of 2.

### What is the length of each diagonal of a square that is 45 cm on each side?

The diagonal is 63.64 cm

### What is the length of the diagonal of a square if its area is ninety eight inches squared?

The diagonal is 14 inches.

### What is the length of the diagonal of a square whose area is 64 cm2?

The square's diagonal is 11.314 cm

### 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.

### What is the side length of a square if its diagonal length is 100 cm?

The side length is 70.71 cm

### 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… Read More

### A square has a diagonal which is 30 inches how long in inches is its side?

A square with a 30-inch diagonal measurement has sides of 21.21 inches in length.

### What is the length of the diagonal of a 5.1cm square?

Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 5.1 cm × √2 ≈ 7.2 cm

### How do you calculate the diagonal of the square?

You multiply the length of a side by the square root of 2. If you only have the area, square root it to find the length of a side.

### What is length of diagonal line in rectangle 32 feet by 36 feet?

Using Pythagoras: 322+362 = 2320 and the square root of this is the length of the diagonal

### What is the length of the diagonal of a square with sides that have a length of 1 unit?

Using Pythagoras' theorem the answer is equal to the square root of 2.

### How do you find the diagonal of a square?

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

### What is the perimeter of a square that has a diagonal of length 20 meters?

The perimeter of this square is 56.569 meters.

### The area of a square is 100 The length of its diagonal is approximately?

If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2). The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14 * The diagonal of any square is the side length times (sq rt 2).

### What is the diagonal of the rectangle has length 6 and width 8?

The diagonal = the square root of (6 squared + 8 squared) 6 squared+8squared = 100 the square root of 100 = 10 so the length of the diagonal is 10. The above used Pythagoras' theorem which says the square on the diagonal is equal to the sum of the squares on the other two sides.

### What is the diagonal of 11 square inches?

As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² =… Read More