How many hexagonal diagonals are there? How many diagonal lines does a regular hexagon have?

A point has n-3 diagonals.

So the n-sided has n(n-3) 2 diagonals and the hexagon has 9 diagonals.

A diagonal, a geometric term, is defined as a line segment that connects any two non-adjacent vertices of a polygon, or connects a polyhedron.

A line segment of any two vertices that are not on the same face. In algebra, in the nth order determinant, the numbers from the top left to the bottom right are classified as the main diagonal, and the numbers from the bottom left to the top right are classified as the secondary diagonal.

A point has n-3 diagonals.

So the n-sided has n(n-3) 2 diagonals.

n=6,n(n-3)/2=9

n=5,n(n-3)/2=5

There are 6 regular hexagons. There are three on the opposite side of the middle line, and there are three drawbacks on the diagonal.

The angle formed by the opposite extension line on one side of the inner corner of a plane polygon is called the outer angle of the polygon. Take an outer angle of the polygon at each fixed point of the polygon, and their sum is called the sum of the outer angles of the polygon, and for a planar n-sided polygon, the sum of its inner angles is s=180°· (n-2), the sum of the outer angles is 360 ° (independent of n).

Hexagons, a type of polygon, refer to all polygons that have six sides and six corners. According to the regular polygon inner angle and the formula s=180°· (n-2), the sum of the inner angles of all regular hexagons is 720°, and the sum of the outer angles is 360°.

If there is at least one advantage angle in a hexagon, we say that the hexagon is a concave hexagon. If all six corners in a hexagon are inferior angles, then such a hexagon is a convex hexagon. For example, a three-cornered star is a concave hexagon.

In nature, the molecular structure of benzene and graphite, turtle shells, beehives, etc., all show regular hexagonal shapes.

Information about regular hexagons

Because when a regular six-height unsided is attached to a circle, the radius of the circle is just equal to the length of the sides of the regular hexagon, and the longest diagonal of the regular hexagon is equal to the diameter of the circle. In ancient China, there was a saying that the relationship between the circumference and the diameter of the circle was "one diameter on three days", which can be regarded as the result of using a regular hexagon as an approximate figure for a circle.

The sum of the inner angles of a regular hexagon is 720°, and each inner angle is 120°.

The regular hexagon is one of the regular polygons that can be densely paved with planes, and the other two are equilateral triangles and squares.

A large satellite is the shape of a regular hexagonal formed by the intersection of diagonal lines.

A regular hexagon can be drawn with a compass ruler alone (ruler drawing).

A regular hexagon has 6 sides, two pairs of sides, a total of 3 groups of opposite sides, and 3 diagonals.

The positive six-state polygon has three pairs of opposite sides, and has c(6,2)-66 5 2-6=9 diagonals.

In general, the number of convex n-sided diagonals is:

c(n，2)-n。How did the formula come about? Let me tell you: choose a line segment composed of 2 vertices from n vertices at random, and only the edge of the convex n-sided is not the diagonal positive grinding source line, so it should be removed, that is, -n.

Do you understand?

The number of diagonals of an n-sided is the product of the difference between n and n minus 3, divided by 2. When the figure is hexagonal, n is equal to 6, so the number of diagonals of the hexagon is equal to the product of the difference between 6 and 6 minus 3 and divided by 2, which is equal to 9. That is, there are 9 hexagonal diagonals.

What is a regular hexagonA regular hexagon is a polygon with six equal sides and six equal interior angles in plane geometry. The inner angles are equal and the hexagons are equal. From the sum of the outer angles of the polygon equal to 360 degrees, an inner angle is 180-(360 6) = 120 degrees, so each inner angle is 120 degrees.

Because it is a regular hexagon, the regular hexagon can be divided into 6 congruent triangles through the center, making the height of the regular triangle, using the Pythagorean theorem to find the height of the free branch chain 3 2 a, the overlapping area of each triangle is 3 4 a, so the area of the regular hexagon is (3 2) 3a.

A regular hexagon has three pairs of opposite sides and six diagonals.

The length of the diagonal in a regular hexagon is twice the length of the sides of a regular hexagon.

The regular hexagon is divided into six equal equilateral triangles according to each side, one of the sides of these equilateral triangles is the side of the regular hexagon, and the two sides on the same straight line are exactly the diagonal of the regular hexagon, so the length of the diagonal in the regular hexagon is twice the length of the side of the regular hexagon.

The length of the diagonal in a regular hexagon is twice the length of the sides of a regular hexagon.

The regular hexagon is divided into six equal equilateral triangles according to each side, one of the sides of these equilateral triangles is the side of the regular hexagon, and the two sides on the same straight line are exactly the diagonal of the regular hexagon, so the length of the diagonal in the regular hexagon is twice the length of the side of the regular hexagon.

The length of the diagonal in a regular hexagon is twice the length of the sides of a regular hexagon.

The regular hexagon is divided into six equal equilateral triangles according to each side, one of the sides of these equilateral triangles is the side of the regular hexagon, and the two sides on the same straight line are exactly the diagonal of the regular hexagon, so the length of the diagonal in the regular hexagon is twice the length of the side of the regular hexagon.