Most shapes are not equilateral. The property of being equilateral is actually very rare.
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A rectangle is not always equilateral. A square and a rhombus both have four equal sides.
A rectangle is not always equilateral, although it is always equiangular. A rhombus is not always equiangular, but is always equilateral. A square is both equilateral and equiangular.
No, there is no need for it to be equilateral.
An equilateral triangle is a regular shape because it has 3 equal sides.
A hexagonal nut has the shape of an equilateral hexagon