No
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No, it is not a type of triangle as a triangle is defined as a polygon with three sides and three angles and a parallelogram has four sides and four angles.
The answer depends on how the parallelogram in the triangle is constructed.
you do it because the triangle is half the size of the parallelogram
No, a triangle is not a a parallelogram
If the heights and bases are the same, then the triangle is half the area of the parallelogram.