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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.
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What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
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)
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 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 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.
