What is the relationship between the diagonal line of the square and the length of the sides

The diagonal of the square is twice the length of the sides of the square.

The side length of the square is a, the diagonal length is b, and the area of the square is equal to the area of 2 triangles abc.

The area of the triangle s abc = base height 2 = b b 2 2 = b2 4, s abc = b2 4

i.e. the area of an isosceles right triangle = hypotenuse hypotenuse 4

So, the area of the square is also equal to 2 s abc = 2 b2 4 = b2 2

i.e. s abcd = b2 2, i.e. the area of the square = diagonal diagonal 2

The diagonal length is equal to 2 times the root number of the side length.

It is the relationship between the waist and the bottom edge of the right triangle: diagonal = root number 2 side length.

The diagonal is equal to the root of 2 times the square of the side length.

The square has four sides and two diagonals, one of which divides the square into two equilateral right triangles, and the other diagonal of the Sinata also has the same properties.

Assuming that the side length of the square is a, then the length d of the diagonal line can be expressed by the Pythagorean theorem as: d = (a + a ) = 2a.

Thus, the diagonal length of a square is related to the length of its sides: the diagonal length is equal to the square root of the side length multiplied by 2, i.e., d= 2a.

This relational shows that in a square, the length of the diagonal is a multiple of the longitudinal stretching direction of the side length, and its value is approximately equal to the multiple. This formula is not only very useful in calculating the diagonal length of a square, but is also often used in the calculation of many other geometric shapes.

The diagonal of the square.

Equal to 2 times the length of the side, because according to the Pythagorean theorem.

Available: Diagonal = side length + side length, the Pythagorean theorem, is a basic geometric theorem that refers to a right triangle.

The sum of the squares of the two right-angled edges is equal to the hypotenuse.

of the squared. In ancient China, the right triangle was called the Pythagorean shape, and the smaller of the right-angled sides was the hook, the other long right-angled side was the strand, and the hypotenuse was the chord, so this theorem was called the Pythagorean theorem, and some people called the Shanggao theorem.

The Pythagorean theorem now has about 500 ways to prove it, making it one of the most provable theorems in mathematics. The Pythagorean theorem is one of the important mathematical theorems discovered and proven by mankind in the early days, one of the most important tools for solving geometric problems with algebraic ideas, and it is also the combination of numbers and shapes.

one of the bonds.

The two sides of the diagonal line and the square form an isosceles right triangle, and the square of the diagonal can be found using the Pythagorean theorem, which is the sum of the squares of the two right-angled sides. Then find the arithmetic square of this Ho, and the root can find the length of the diagonal.

Diagonal = side length + side length

The diagonal of the square = 2 times the length of the side

The relationship between the diagonal and the side length of the square is that the diagonal of the square is twice the length of the side of the square. The relationship between the diagonal and the side length of the square is that the diagonal of the square is 2 times the length of the side of the square, assuming that the side length of the square is a, the diagonal length is b, the area of the square is equal to the area of 2 triangles abc, the area of the square = diagonal diagonal 2.

The diagonal length of the square = (the square of the side length multiplied by 2 and then the square), i.e. = times the length of the side.