Question

The circumcenter of an acute angled triangle is located inside the triangle. The circumcenter of an obtuse angled triangle is located outside the triangle. Where does the circumcenter of a right angled triangle lie?

• A. on the triangle
• B. outside the triangle
• C. inside the triangle
• D. None of the above

Answer 1

Answer: (A)

on the triangle

Circumcenter is the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.

If we draw the perpendicular bisectors of the sides of a right angled triangle, they intersect on the hypotenuse of the triangle. Hence the circumcenter of a right angle triangle lies on the triangle.