Correct word for a triangle with truncated points?

Solution 1:

As Mick wrote in a comment, they are called truncated triangles.

Truncation (geometry) — Wikipedia

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

In general any polyhedron (or polytope) can also be truncated with a degree of freedom as to how deep the cut is.

Parametric truncations of a triangle