How to calculate the center of the obtained Area in this case?

Hello, I need help in my reaserach paper.

I want to calculate the center of the obtained Area in this case:

The hight ( y axis value) is varibale that depends in another thing and this value will make alpha cut in each triangle seperatly,

For example the value of Y-axis is 0.4 and it made alpha cut in the second triangle , How to calculate the Certoid of the obtained area in this case Like the following photo?

And How to calculate the Certoid of the obtained area for the 1st and 3rd triangles?

Answer 1

[Torsten]

https://en.wikipedia.org/wiki/Centroid#Of_a_polygon

https://de.mathworks.com/help/matlab/ref/polyshape.centroid.html