To determine the hybridisation of a molecule with an equilateral shape, we need to understand the concept of hybridisation in chemistry. Hybridisation is a model that explains the shape, bonding, and geometry of molecules.
An equilateral triangle shape is associated with a molecular geometry known as trigonal planar. In a trigonal planar geometry, the central atom forms bonds that create angles of 120° with each other.
When a molecule has a trigonal planar shape, as is the case with an equilateral triangle, the central atom typically undergoes sp^2 hybridisation. This hybridisation involves the mixing of one s orbital and two p orbitals to form three equivalent hybrid orbitals that lie in the same plane.
Let's analyze the provided options:
Therefore, the correct answer is sp^2 hybridisation, which fits the description of a molecule with an equilateral shape.