Formula
$$x_0=\dfrac{ax_1+bx_2+cx_3}{a+b+c}, \, y_0=\dfrac{ay_1+by_2+cy_3}{a+b+c}, \\[1.4em] \text{ where } a=BC, b=CA, c=AB$$
Variables
A(x1,y1)
→
Triangle verice
B(x2,y2)
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Triangle verice
C(x3,y3)
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Triangle verice
a,b,c
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Sides of a triangle