You have to specifically give the problem with the dots, but it can form all equilateral triangles.. .. . .. . . .
In an equilateral trianger, each angle is 60 degrees. In all triangles, including equilateral triangles, all 3 angles add up to 180 degrees.(the above assumes Euclidean - flat - space. In Hyperbolic space there are less than 180° in all triangles; in Spherical space more than 180° in all triangles)
In a right pyramid the apex is directly above the centroid of the base - whatever shape that is. One consequence is each of the faces, other than the base, are isosceles (or equilateral) triangles.
60 because there are 3 sides in a triangle and 60 x 3 =180, triangles are always equal to 180 * * * * * The above "answer" has nothing to do with the question! The area of an equilateral triangle with sides of s cm is s*sqrt(3)/4 square cm.
a prism is constructed from two parallel and congruent regular polygons. with vertices joined by edges of length equal to that of the polygons a pyramid has a square base and has 4 triangle joining at a vertex above the centre of the square base. the triangles are isosceles triangles (and can even be equilateral)
You have to specifically give the problem with the dots, but it can form all equilateral triangles.. .. . .. . . .
In an equilateral trianger, each angle is 60 degrees. In all triangles, including equilateral triangles, all 3 angles add up to 180 degrees.(the above assumes Euclidean - flat - space. In Hyperbolic space there are less than 180° in all triangles; in Spherical space more than 180° in all triangles)
There are various types of pyramids, including regular pyramids (with a regular polygon as the base and congruent isosceles triangles as the faces), right pyramids (with the apex directly above the center of the base), and oblique pyramids (where the apex is not directly above the center of the base). Pyramids can also be classified based on the shape of their base, such as square pyramids, triangular pyramids, pentagonal pyramids, etc.
180 degrees all triangles have 180 degrees.(the above assumes Euclidean - flat - space. In Hyperbolic space there are less than 180° in all triangles; in Spherical space more than 180° in all triangles)
Two triangles are similar if: 1) 3 angles of 1 triangle are the same as 3 angles of the other or 2) 3 pairs of corresponding sides are in the same ratio or 3) An angle of 1 triangle is the same as the angle of the other triangle and the sides containing these angles are in the same ratio. So if they are both equilateral, then they both have three 60 degree angles since equilateral triangles are equiangular as well. Then number 1 above tell us by AAA, they are similar.
In a right pyramid the apex is directly above the centroid of the base - whatever shape that is. One consequence is each of the faces, other than the base, are isosceles (or equilateral) triangles.
60 because there are 3 sides in a triangle and 60 x 3 =180, triangles are always equal to 180 * * * * * The above "answer" has nothing to do with the question! The area of an equilateral triangle with sides of s cm is s*sqrt(3)/4 square cm.
a prism is constructed from two parallel and congruent regular polygons. with vertices joined by edges of length equal to that of the polygons a pyramid has a square base and has 4 triangle joining at a vertex above the centre of the square base. the triangles are isosceles triangles (and can even be equilateral)
The answer varies depending on the exact type of geodesic dome you are using. A 2 frequency and 4 frequency geodesic domes use 20 equilateral triangles despite the two-frequency having many more faces than the 2 frequency where the 3 frequency geodesic dome (150 sided) uses none at all. The above calculations, however, are only common to a certain architectural model. Assuming the domes are built mathematically instead of according to architectural integrity, the number of equilateral triangles in a "pure" dome, a geodesic sphere, is exactly equal to the number of faces, by definition.
congruent means equivalent. An equilateral triangle has 3 of the same sides, not two. Isosceles triangles can have 2 or 3 of the same length sides. Congruent isosceles triangles are impossible.I agree with most of the above answer but not the last sentence. It is possible to have congruent isosceles triangles. If the legs (sides) of triangle 1 are the same length as the legs of triangle 2, and the bases (third side) of the two triangles are the same length then the two isosceles triangles will be congruent.So the answer to the question is: yes, a congruent triangle can have two same length sides.
Continued invisibility, I would say.
Nope. They're VERY different. Egyptian pyramids were made as tombs for royalty, while Mayan pyramids were made as religious temples. The above answer does not relate to the question.