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Equal sides all around. ^_^
Yes
It depends on the axis around which the triangle is rotated to generate the 3-d version. If rotated about the hypotenuse, you would get a circular wedge. If either of the other sides, you would get a cone.
A hexagon is a six-sided figure. Cut an equilateral triangle out of a piece of paper. Chop off little equilateral triangles at each tip of the triangle. What you have is a hexagonal piece of paper. Draw around it.
Equilateral triangle.