A heptagonal pyramid and a square based dipyramid are two possibilities. There are others.
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No. For it to be equilateral it can't be a right triangle.
Some triangles are equilateral, but not all of them. There are three types of triangles. Triangles which have three equal sides and three equal angles are called equilateral triangles. Isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides and no equal angles.
No because all right triangles have 2 legs and a hypotenuse. The hypotenuse is always longer than either leg so right triangles can't be equilateral triangles.
technically, triangle classes have a bulls-eye type name graph, with equilateral triangles in the middle, then isosceles, then scalene, so technically, some scalene triangles are isosceles and some are equilateral, but not all are.
isocles, equilateral, obtuse, acute, scalene, right