#TRIANGLE TESSELLATION STEPS HOW TO#

If you want to get exotic, you can play around with other different shapes.

We hope you can see how we arrive at the same hexagon area formula we mentioned before. After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: Where A₀ means the area of each of the equilateral triangles in which we have divided the hexagon. And the height of a triangle will be h = √3/2 × a, which is the exact value of the apothem in this case. This fact makes it much easier to calculate their area than if they were isosceles triangles or even 45 45 90 triangles as in the case of an octagon.įor the regular triangle, all sides are of the same length, which is the length of the side of the hexagon they form. For the regular hexagon, these triangles are equilateral triangles. If you don't remember the formula, you can always think about the 6-sided polygon as a collection of 6 triangles. Alternatively, one can also think about the apothem as the distance between the center, and any side of the hexagon since the Euclidean distance is defined using a perpendicular line. You can view it as the height of the equilateral triangle formed by taking one side and two radii of the hexagon (each of the colored areas in the image above). Just as a reminder, the apothem is the distance between the midpoint of any side and the center.

The formula for the area of a polygon is always the same no matter how many sides it has as long as it is a regular polygon:

#TRIANGLE TESSELLATION STEPS HOW TO#

For those who want to know how to do this by hand, we will explain how to find the area of a regular hexagon with and without the hexagon area formula. The easiest way is to use our hexagon calculator, which includes a built-in area conversion tool. We will now have a look at how to find the area of a hexagon using different tricks.

Triangle tessellation steps