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Q: What is the maximum number of equilateral triangles that can come together at each vertex of a solid?
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How many equal sides does an equilateral have?

1In something that is equilateral, all the sides are equal. For an equilateral triangle, that's three.


How do you create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2 to 3?

To create three different drawings showing a number of circles and triangles in which the ratio is 2:3 you can: Start with an equilateral triangle, draw a circle inside it, draw an equilateral triangle inside the circle, draw a circle in the triangle and then draw an equilateral tiangle in the smallest circle. Or, you could draw 3 triangles and 2 circles in a line. Or, you could draw 3 triangles on a line with 2 circles between them.


What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane?

6 maximum points of intersection


What are the different kind of triangles?

there is the Equilateral Triangle which all sides are equal.there is the Isosceles Triangle where only two sides are equal.there is the Scalene Triangle where no sides are equal.can help you:http://www.easycalculation.com/trigonometry/triangles-sides.php


Can regular heptagons and equalateral triangle tile a flat surface?

Equilateral triangles can tile a plane, but regular heptagons cannot; nor can they tile the plan together. Where vertices meet (at a point on the plane) there is a complete turn of 360°. Each vertex of an equilateral triangle is 60°; 360° ÷ 60° = 6, a whole number of times, so a whole number of equilateral triangles can meet at a vertex of the tiling. Each vertex of a regular heptagon is 128 4/7°; 360° ÷ 128 4/7° = 2 4/5 which is not a whole number, so a whole number of regular heptagons cannot meet at a vertex of the tiling, so there will be gaps. With one regular heptagon there are 360° - 128 4/7° = 232 3/7°, but this cannot be divided by 60° a whole number of times, so one regular heptagon and some equilateral triangles cannot meet at a vertex of the tiling without gaps. With two regular heptagons there are 360° - 2 x 128 4/7° = 102 6/7°, but this cannot be divided by 60° a whole number of times, so two regular heptagons and some equilateral triangles cannot meet at a vertex of the tiling without gaps. With three or more regular heptagons, they will overlap when trying to place them on a plane around a point - leaving no space for any equilateral triangles.

Related questions

Are two equilateral triangles sometimes always or never similar to each other?

Since triangles have three sides and must have interior angles equal to pi or 180o, the three interior angles in all equilateral triangles will be pi/3 or 60o.However, equilateral triangles must also have equal side lengths. Since equilateral triangles with interior angles of 60o will not necessarily have the same side lengths, two equilateral triangles will sometimes be similar to each other.


How many equal sides does an equilateral have?

1In something that is equilateral, all the sides are equal. For an equilateral triangle, that's three.


Is it false an acute triangle is always equilateral?

Yes it is correct that the statement is false. All equilateral triangles are acute, because all three angles are less than a right angle (90°). There are an infinite number of cases of acute triangles which are not equilateral.


Does all types of triangles have the same number of sides?

no they dont. the main type of triangles are isoceles equilateral and scarlene and they do not have the same numbers of sides


How do you create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2 to 3?

To create three different drawings showing a number of circles and triangles in which the ratio is 2:3 you can: Start with an equilateral triangle, draw a circle inside it, draw an equilateral triangle inside the circle, draw a circle in the triangle and then draw an equilateral tiangle in the smallest circle. Or, you could draw 3 triangles and 2 circles in a line. Or, you could draw 3 triangles on a line with 2 circles between them.


What is the least number of equilateral triangles that can come together at each vertex to form a solid?

Four, in order to form a tetrahedron; this is alos the simplest possible 3-dimensional object constructed of regular polygons.


Only regular polygons with an even number of sides can make a regular tessellation.?

No. Equilateral triangles will tessellate and a triangle has 3 sides, which is an odd number.


Can only regular polygons with an even number of sides make a regular tessellation?

No. Equilateral triangles will tessellate and a triangle has 3 sides, which is an odd number.


What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane?

6 maximum points of intersection


What is the maximum number of regular polygons that can be arranged around a single point?

6 (triangles).


What is the ratio of triangle to circle?

It is the number of triangles : the number of circles.


What are the different kind of triangles?

there is the Equilateral Triangle which all sides are equal.there is the Isosceles Triangle where only two sides are equal.there is the Scalene Triangle where no sides are equal.can help you:http://www.easycalculation.com/trigonometry/triangles-sides.php