The two right triangles have equal radii as hypotenuses and a common perpendicular side. Therefore, they are congruent by the RHS Congruence Criterion. Hence, the chord is divided into two equal parts.
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The two sides joining the centre to the endpoints of the chord are radii of the same circle. Since all radii are equal, the triangle formed is an isosceles triangle.
Yes. Other congruent triangles can be constructed on the same circumcircle. They have the same shape and size as the given triangle but are positioned differently on the circle.
The circumcentre is always equally distant from all three vertices of a triangle. Therefore, OA, OB and OC are equal. Small differences may appear only because of minor drawing or measuring errors.
The triangle formed is an acute-angled triangle. In every acute-angled triangle, the circumcentre lies inside the triangle. Therefore, the centre of the circumcircle is located inside the triangle.