Question

The perpendicular bisectors of the three sides of an acute triangle intersect each other______.

• A. outside the triangle
• B. at any vertex of the triangle
• C. Inside the triangle
• D. on the greatest side of the triangle.

Answer 1

The correct option is C

Inside the triangle

Circumcentre is the centre of the circumcircle of a triangle.
If the triangle is
(a) An acute-angled triangle, then the circumcentre of the triangle lies inside the triangle.

(b) A right-angled triangle, then the circumcentre of the triangle lies on the hypotenuse of the triangle and it bisects the hypotenuse, i.e., the midpoint of the hypotenuse.

(c) An obtuse-angled triangle, then the circumcentre of its circumcircle lies on the outside of the triangle.