Agardener has three herb beds she wishes to plant in a design that consists of three equilateral triangles laid out in such a way that all three triangles share a common vertex. construct such a design and give a step by step explanation of the construction

The design is shown in the attached picture. An equilateral triangle has sides that have equal measurements. On the other hand, a vertex is the terminal point of at least two line segments. Therefore, when you join three equilateral triangles sharing a common vertex, that simply means that they have a common point.