Hello,

I try to figure out a formula to find the mid point of a triangle.

Given are the 3 endpoints A(x,y), B(x,y) and C(x,y).

I can find the side length a, b,c of the triangle by using the distance formula.

Then I could find the angles with the Law of Cosine.

The intersection, m(x,y), of the angle bisectors is the center of the incircle.

But how can I find this intersection with the information I have?

Thanks for any help!