2 trapezoids

one-half

Let’s use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent .

A regular hexagon is one that has six equal side lengths. It might be possible to divide an irregular hexagon, which does not have equal side lengths, into three equal parts; however, because each irregular hexagon has different properties, there are no specific methods for doing so.

A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

Hexagon Definition: In mathematics and geometry, a Hexagon is defined as a polygon (a closed two-dimensional shape with straight sides) with 6 sides. Note that Hexagons have 6 sides and 6 angles. There are two types of Hexagons: Regular Hexagons and Irregular Hexagons.

Hexagons are typically six straight sides of equal length. You may see snowflakes in that pattern. Beehives, ice crystals are other common occurrences of hexagon in real life.

hexagon

In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Since the interior angles of each triangle totals 180º, the hexagon’s interior angles will total 4(180º), or 720º. This same approach can be taken in an irregular hexagon.

Solution 1 The kids chopped the hexagon into 24 equal triangle of which 18 compose the smaller hexagon, making the ratio of the areas 18/24 = 3/4, with 1/4 of the original area cut off. (First join the midpoints to the center of the hexagon to obtain 6 equilateral triangles.

A regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. A regular hexagon can be dissected into six equilateral triangles by adding a center point.

In a hexagon there are six sides. Number of triangles contained in a hexagon = 6 – 2 = 4. In the adjoining figure of a hexagon ABCDEF, on joining AC, AD and AE, the given hexagon is divided into four triangles i.e. ∆ABC, ∆ACD, ∆ADE and ∆AEF.

enneagon

Regular megagon

triacontadigon

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

hectogon

tetracontagon