For example, equilateral triangles have all congruent sides - that's the definition of equilateral. All their angles are the same also, which makes them equiangular.

Can you have an equiangular but not equilateral?

In the case of triangles, being equiangular requires that the triangle also be equilateral. ... For example, a rectangle is equiangular — all four angles are 90° — but need not be square (need not have all four sides the same length). Thus, not all equiangular quadrilaterals are equilateral and so are not all regular.

How are equilateral and equiangular different?

Therefore, if all of the sides of the polygon are the same length, the polygon is said to be equilateral, while if all of the inside angles of the polygon are the same measure, the polygon is said to be equiangular.