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Q: Why will an equilateral triangle always tessellate a plane?
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Related questions

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

yes


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.


Is an equilateral triangle always a right triangle?

No, never in plane geometry.


Which polygons will tile the plane?

If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.


Does every equilateral tessellates a plane?

No. An equilateral polygon with 5 or with 7 or more sides will not tessellate a plane.


How do you know the measure of each angle in an equilateral triangle using what you know about equilateral triangles and the degree measure of a circle or a straight angle?

the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°


Is it possible to tessellate a plane by using any single type of regular polygon?

No because a regular polygon will only tessellate if its interior angle is a factor of 360 degrees. For example an equilateral triangle will tessellate because its interior angle is 60 degrees which is a factor of 360 degrees.


Can heptagon tessellate?

No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!


What is a plane triangle?

a plane triangle is a normal triangle, like the isosceles, right angled, equilateral and scalene triangle.


Will a regular heptagon and equilateral triangle tile a plane?

No.


Can a regular heptagon and equilateral triangle tile a plane?

No