answersLogoWhite

0


Best Answer

Use Pythagoras on the triangle formed by two adjacent sides and the diagonal between their other ends:

diagonal = √(122 + 122)

= 12 x √2

~= 16.97 units

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Find the diagonal of a square whose sides are 12?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the length of the diagonal of a square whose sides are 1cm?

Using Pythagoras's theorem, you will find that the diagonal is sqrt(2) = 1.4142 cm (approx),


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


How do you find the area of a square whose diagonal is 7.5 cm?

Check


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 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


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.


What is the perimeter of a square whose one diagonal is 16cm?

To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.


How do you find the diagonals of a square when you have the area of the square?

A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.


What is the diagonal measurement of 36 foot by 36 foot square?

To find the diagonal measurement of a square, you can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides. In this case, both sides of the square are 36 feet long, so the diagonal can be calculated as √(36^2 + 36^2) = √(1296 + 1296) = √2592 ≈ 50.91 feet. Therefore, the diagonal measurement of a 36-foot by 36-foot square is approximately 50.91 feet.


If you use the Pythagorean theorem to find the length of a diagonal in a square and all sides are 25m would the answer be 1250m?

Doesn't seem likely, does it? A diagonal 50 times the length of the sides? Diagonal = sqrt(252 + 252), ie sqrt 1250(!) which is 35.36 to the nearest hundredth.


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.