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What does a concave hexagon look like?
It looks like four equilateral triangles that have been put together so that one vertex of each meet at a point.
How many equilateral triangles in an octagon?
In an octagon, there are 20 equilateral triangles. Each side of the octagon can form two equilateral triangles with the adjacent sides, resulting in 8 equilateral triangles. Additionally, the diagonals of the octagon can form 12 more equilateral triangles. Therefore, the total number of equilateral triangles in an octagon is 8 + 12 = 20.
Why will a equilateral triangle tessellate?
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.
What is the number of diagonals drawn from one vertex on a 13-gon?
There are 10 possible diagonals drawn from one vertex of the 13-gon which divide it into 11 nonoverlapping triangles.
What are two isosceles triangles with congruent vertex angles?
They're similar triangles.
What is the maximum number of equilateral triangles that can come together at each vertex of a solid?
10
What is the maximum number of equilateral triangles that can come togetherate ach vertex to form a solid?
The maximum number of equilateral triangles that can meet at a vertex to form a solid is 4. This configuration forms a tetrahedron, where each vertex is shared by four equilateral triangle faces. Any arrangement with more than four triangles at a single vertex would not be able to maintain the necessary geometric properties to form a solid.
Why cant i build a platonic solid where 6 equilateral triangles meet at each vertex?
You cannot build a platonic solid with six equilateral triangles meeting at each vertex because the angles of equilateral triangles do not allow for a closed three-dimensional shape at that vertex. Each angle of an equilateral triangle is 60 degrees, and six triangles would sum to 360 degrees, which does not leave room for a vertex in three-dimensional space. In contrast, the only platonic solids possible with equilateral triangles are the tetrahedron (3 triangles per vertex) and the octahedron (4 triangles per vertex).
What does a concave hexagon look like?
It looks like four equilateral triangles that have been put together so that one vertex of each meet at a point.
What does Isosceles Triangle and Equilateral Triangle have that is different?
Equilateral triangles have 3 equal sides, but isosceles only have two equal sides. Also, equilateral triangles have three 60° angles. Isosceles triangles have two congruent base angles and a vertex angle.
Does two equilateral triangle form a rectangle?
No, two equilateral triangles do not form a rectangle when placed together. While you can arrange two equilateral triangles in various ways, such as aligning their bases or placing them vertex-to-vertex, the resulting shape will not have the right angles or equal opposite sides characteristic of a rectangle. Instead, their arrangement will typically create a different polygon or a shape with angles that do not conform to the requirements of a rectangle.
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.
How many equilateral triangles in an octagon?
In an octagon, there are 20 equilateral triangles. Each side of the octagon can form two equilateral triangles with the adjacent sides, resulting in 8 equilateral triangles. Additionally, the diagonals of the octagon can form 12 more equilateral triangles. Therefore, the total number of equilateral triangles in an octagon is 8 + 12 = 20.
What is the least number of points in which two triangles can intersect?
There are two ways to think of this question, if the triangles don't have to intersect then the answer is zero. If the triangles have to intersect, then the minimum number of points is one, if the triangles meat at vertex to edge or vertex to vertex.
Are six triangles in a regular polygon?
A regular polygon can contain any number of triangles depending on how it's divided. For example, a regular hexagon can be divided into six equilateral triangles by drawing lines from each vertex to the center. However, not all regular polygons will have six triangles; the number of triangles formed will vary based on the polygon's number of sides and the method of division.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
How many faces do 6 triangles have meeting at each vertex?
That shape is a unit equilateral triangular dipyramid, and it has 6 faces.
