answersLogoWhite

0


Best Answer

Each angle in an equilateral triangle is 60 degrees. In order to create a regular tessellation of an area, we need for the angles of the polygons we are putting near each other to sum to 360 degrees. If you place six equilateral triangles so that all of them share a vertex, and each triangle is adjacent to two others, you get 60*6 = 360 degrees in that vertex. Please see related link for a demo of a triangular tessellation.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why will a equilateral triangle tessellate?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Does an equilateral triangle tessellate?

Yes. Any triangle will tessellate.


Why will an equilateral triangle always tessellate a plane?

Yes


Does an equilateral triangle tessellate a plane with no overlaps or gaps?

yes


What is the FALSE statement about a triangle?

False: A triangle will only tessellate if it's in the form of an equilateral triangle.


Which regular polygon will tessellate alone?

An equilateral triangle, a square and a hexagon.


Which ragular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


Which regular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


How can you tell if a regular shape will tessellate?

It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.


What shapes can tessellate?

equilateral and isoceles triangles, squares, rectangles and hexagons. equilateral and isoceles triangles, squares, rectangles and hexagons. * * * * * ALL triangle and ALL quadrilaterals will tessellate. There are 15 pentagons as well as 3 convex hexagons which will tessellate. No polygon with 7 or more sides will tessellate.


Will a regular isosceles triangle tessellate?

There is no such thing as a regular isosceles triangle. The only regular triangle is an equilateral triangle. Having said that, any triangle will produce regular tessellation.


Can all regular polygons tessellate?

No only three can tesselate. they are: An equilateral triangle, a square and a 6 sided hexagon.


What regular polygons tessellate on their own without any spaces or overlaps?

Equilateral triangle, square and regular hexagon.