Equilateral triangles
If you divide the equilateral triangle into two right angle triangles then the hypotenuse will be 12 feet.
If one side of an equilateral triangle is 12 cm, then all sides are 12 cm and all angles are 60 degrees. An altitude dropped from any vertex in an equilateral triangle bisects the base, creating two identical Pythagorean triple triangles. Using our old friend the Pythagorean theorem we can calculate the altitude (= height) as follows"a2 + b2 = c62 + b2 = 12236 + b2 = 144b2 = 108b = 10.3923 cm.
the answer is 12 :)
12
Equilateral triangles
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.
1~Tetrahedron *4 faces (made of equilateral triangles) *6 edges *5 vertices 2~Hexahedron (cube) *6 faces (made of squares) *12 edges *8 vertices 3~Octrahedron *8 faces (made up of equilateral triangles) *12 edges *6 vertices 4~Icosahedron *20 faces (made of equilateral triangles) *30 edges *12 verticies 5~Dodecahedron *12 faces (made of pentagons) *30 edges *20 vertices.
A regular icosahedron has 20 faces (equilateral triangles), 30 edges and 12 vertices.
If you divide the equilateral triangle into two right angle triangles then the hypotenuse will be 12 feet.
A solid with 8 faces is an octahedron.As all faces are the same it is a regular octahedron.As such it is one of the five platonic solids - the only five 3D objects that can be regular: the tetrahedron (4 equilateral triangles for the faces), the hexahedron (usually called a cube with 6 square faces), the octahedron (as asked, 8 equilateral triangles for the faces), dodecahedron (12 regular pentagons as faces), icosahedron (20 equilateral triangles as faces).
Think about 3-D shapes.Eight equilateral triangles would form two square based pyramids stuck together.Count all the lines of the shape.It will have twelve lines which would be enough lines for twelve matchsticks.
Fuor toothpicks from 16 leave 12 which, by coincidence (?) is exactly enough for four equilateral triangles!
The plural of "polyhedron" is "polyhedra." There are only 5 regular polyhedra:Tetrahedron, 4 sides, all equilateral trianglesCube (or hexahedron), 6 sides, all squaresOctohedron, 8 sides, all equilateral trianglesDodecahedron, 12 sides, all equilateral pentagonsIcosahedron, 20 sides, all equilateral triangles
The plural of "polyhedron" is "polyhedra." There are only 5 regular polyhedra:Tetrahedron, 4 sides, all equilateral trianglesCube (or hexahedron), 6 sides, all squaresOctohedron, 8 sides, all equilateral trianglesDodecahedron, 12 sides, all equilateral pentagonsIcosahedron, 20 sides, all equilateral triangles
The polygons are the equilateral triangle, the square, and the regular pentagon. The faces of these platonic solids are made from the following polygons: tetrahedron - 4 triangles cube - 6 squares octahedron - 8 triangles dodecahedron - 12 pentagons icosahedron - 20 triangles
Pins are arranged in a series of equilateral triangles with the distance centre to centre between each pin being 12 inches.