By the Pythagorean Theorem, it's simply L*Sqrt(2), where L is the length of the side, and Sqrt denotes the square root.
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The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.
Use Pythagoras' theorem to find the length of the diagonal in the 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.
To find the area of a square with a diagonal of 14, we first need to determine the length of one side of the square. Using the Pythagorean theorem, we can calculate that the side length is 7√2. Then, we can find the area of the square by squaring the side length, which gives us 98 square units.
To find the diagonal of a square, we can use the formula for the diagonal of a square, which is d = s√2, where d is the diagonal length and s is the side length of the square. Given that the area of the square is 36, we can find the side length by taking the square root of the area, which is √36 = 6. Substituting s = 6 into the formula, we get d = 6√2. Therefore, the diagonal of the square with an area of 36 is 6√2 units.