Prove that angle bisector of any angle of a triangle and perpendicular bisector of the opposite side if intersect, they will intersect on the circumcircle of the triangle.

Question

TextUnique Circle Through Three Non-collinear PointsNCERT Exemplar

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is :

Through three collinear points a circle can be drawn.