By tridecagon, I suppose you are referring to a 13 sided shape. In any shape, you could draw however many triangles you wanted to. If you are after triangles formed by a line from the corners of the shape to the centre, a tridecagon (after the first few shapes, mathematicians usually just use the term n-gon so your 13 sided shape would be called a 13-gon), would contain 13 triangles formed in this way.
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A tridecagon is a 13 sided polygon. Also called a triskaidecagon.
tridecagon
Tridecagon
henagon, digon, triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, hendecagon, dodecagon, tridecagon, tetradecagon, pentadecagon, hexadecagon, heptadecagon, octadecagon, nonadecagon, icosagon
tridecagon (or triskaidecagon)