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Area of an equlateral triangle = 0.5*side2*sin(60)

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Q: How do you find the area of each face on an equilateral triangle?
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Example of triangular pyramid?

A tetrahedron is an example of a triangular pyramid. Every face is a triangle, and each face touches every other face on one edge.


How many triangles of different size and shape can be formed using the vertices of a cube?

Consider a "unit cube", with all edges equal to 1 inch in length. Eight vertices - A, B, C, D, clockwise around the top, E, F, G, H on the bottom, with A directly above E, B directly above F, etc. Triangle Type 1 is completely confined to one face of the cube. The second and third points are adjacent (connected by an edge of the cube) to the first, but are opposite each other, but still on the same face. Two of the sides are edges of the cube, and therefore have a length of 1 inch. The third side is a diagonal drawn across one face of the cube, and has a length of √2 inches. This is a right triangle, and is also an isosceles triangle (the two sides adjacent to the right angle have the same length). The area of this triangle is 1/2 square inch. A typical triangle of this type is ABC. Triangle Type 2 has two vertices that are adjacent to each other (on the same edge of the cube), but the third point is the opposite vertex of the cube from the first point, and is the opposite vertex on the same face as the second point. One side is an edge of the cube and has a length of 1. The second side is a diagonal drawn across one face of the cube, and has a length of √2. The third side is a diagonal drawn between opposite vertices of the cube, and has a length of √3. This is also a right triangle, but not an isosoceles triangle, and therefore different from the first type. The area of this triangle is √2/2. A typical triangle of this type is ABG. Triangle Type 3 has three vertices that are opposite each other along the same face (though on three different faces). I.e., Vertices 1 and 2 are opposite each other along one face, 2 and 3 are opposite each other along another face, and 1 and 3 are opposite each other along a third face. All three sides have a length of √2. This is an equilateral triangle. The area of this triangle is √3/2. A typical triangle of this type is ACF.


What shape has 12 edges and is a polyhedron and each face is a triangle?

Octogon


Has 4 faces each face equaatril triangle it is a polyhedron?

Yes it is a tetrahedron


How many short isosceles triangles are needed to build one great Icosahedron?

According to some definitions an icosahedron is considered a Platonic solid so that each of its faces is an equilateral triangle. You would, therefore need three coplanar isosceles triangles to make each face of the icosahedron. Since there are 20 faces in an icosahedron, you would need 60 such triangles.

Related questions

What is the Name of each face of an octahedron?

Each face is an equilateral triangle.


What types of faces are found in an equilateral triangle?

One face that is the equilateral triangle.One face that is the equilateral triangle.One face that is the equilateral triangle.One face that is the equilateral triangle.


What shapes does a tetrahedron have?

A tetrahedron is a four sided polyhedron. Each face is a triangle. If it is a regular tetrahedron, then each face is an equilateral triangle.


Each face is what polygon on a octahedron?

A regular octahedron is one of the platonic solids. Each of its faces is an equilateral triangle.


How many right angles on all the faces of a tetrahedon?

None. Each face is an equilateral triangle.


What shape is the face of a octahedron?

equilateral triangle


What shape is the face of a regular icosahedron?

An equilateral triangle.


Shape has 4 faces its a polygon each face is an equilateral triangle?

The figure described is a polyhedron. It is a tetrahedron known as a triangular pyramid.


What type of triangle makes one face of a regular icosahedron?

Equilateral


What is the shape with each face as an equilateral triangle?

A four sided figure would be a tetrahedron and a 20 sided would be an icosahedron. They both have equilateral triangles for faces so your question is a little incomplete.


What is the surface area of a triangulsr pyramid?

If its a triangular based pyramid (tetrahedron) then it will have 4 equilateral triangle faces and so find the area of one face and multiply it by 4 to give the total surface area.


How many vertices faces and edges does a equilateral triangle have?

A triangle has 3 vertices and three sides (edges). It has one face.