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Animate point going around a triangle

How can I animate a point moving on a triangle's sides?
I can generate a triangle and point, but I have no idea how to define point movement. I'm guessing that I have to use $\sin$ and $\cos$ in coordinates, but I can't find a way to define the triangle in this way.
Can someone help me a bit with that?

point on triangle

Dcortez
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