Question

derive incentre of triangle

Answer 1

the point of concurrency of internal bisector pf the angles of a triangle is called the incentre of the triangle.
the co-ordinates of the incentre of a triangle with vertices as A (x1, y1) B (x2, y2) and C (x3, y3) are

[ (ax1+bx2+cx3)/(a+b+c), (ay1+by2+cy3)/(a+b+c)]
where BC=a
AC=b
AB=c