Assuming you wanted to know the name of the process, that would be called bisecting the triangle. However, if you wanted to know what shape is produced, it would either be another triangle if the original was bisected from one point to the opposite base, or a triangle and a trapezoid if it's bisected from one side to the other.
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you can cut a triangle directly
Trapizoid &triangle
It could be two trapezoids, or a triangle and a quadrilateral. It all depends on where the cut is made.
You multiply half of base times height so find base times height and cut it in half.
a half triangle