The diagonal of a square = the length of one side x the square root of 2 (approx 1.414)
Chat with our AI personalities
A bisector - or diagonal
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.
The square's diagonal is 11.314 cm
The diagonal is ~16.97 units.
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.