The side of a square is is cube root of 2cm. Find the length of the diagonals.
Chat with our AI personalities
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.
To find the side length of a cube with a volume of 8cm^3, you can use the formula for the volume of a cube, which is side length cubed. Therefore, you would take the cube root of the volume to find the side length. In this case, the cube root of 8cm^3 is 2cm, so the side length of the cube is 2cm.
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.
It is the longest distance between two opposite corners of the square and it is possible to use Pythagoras' theorem to find the length of the diagonal
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.