simplified and solved
The elements of geometry, an exquisite and influential geometry treatise written around 300 B.C by the Greek mathematician Euclid, explains Euclidean geometry.
The five postulates form the foundation of euclidean geometry.
Platonic solids are three-dimensional geometrical objects that have been studied for millennia due to their symmetry and beauty. Euclid, a Greek Mathematician proved that there are exactly five such solids.
They are a tetrahedron, a cube, an octahedron, a dodecahedron, and an icosahedron.
Regular polygons are those with all of their sides equal. Since a Regular Polygon has equal sides, it also has equal angles.
| Number of sides ‘n’ | Regular Polygon |
| 3 | Equilateral Triangle |
| 4 | Square |
| 5 | Pentagon |
| 6 | Hexagon |
and so on…
A Platonic solid is a three-dimensional shape, each face is a regular polygon, and the same number of polygons intersect at each vertex.
There are only five Platonic solids exist.
umasundresh