A triangle is normally nonconvex on a flat surface
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Not necessarily.
They are both convex polygons.
Not a plane triangle. With a triangle on a convex surface (eg on the surface of a sphere), the answer is Yes.
Yes, it is! I had this question last night on an assignment for school, and "googled" it because I didn't really know, but yes, it is convex.
Three vertices polygons (aka triangle) can not be concave or convex because it doesn't have enough verticies to susustain an internal angle is less than or equal to 180 degrees. * * * * * Actually, a triangle IS a convex polygon. Convexity requires angle to be less than 180 degrees and since the three angles of a triangle sum to 180 degrees, each one of them MUST be less than 180 degrees!