Question

select the correct answer from each drop - down menu. consider triangle abc. the center of the circumscribed circle of the triangle lies on segment, which is of the circle. reset next

Explanation:

Step1: Recall property of right - angled triangle circum - center

The circum - center of a right - angled triangle is the mid - point of the hypotenuse. In right - angled triangle ABC with right - angle at B, the hypotenuse is AC.

Step2: Identify relevant segment

The center of the circumscribed circle lies on the hypotenuse of the right - angled triangle, and the hypotenuse is a diameter of the circumscribed circle.

Answer:

The center of the circumscribed circle of the triangle lies on segment AC, which is the diameter of the circle.