Question

The perpendicular bisectors of three sides of an obtuse angled triangle intersect each other outside the triangle.

• A. True
• B. False

Answer 1

The correct option is A

True

Circumcentre is the centre of the circumcircle of a triangle.
If the triangle is
(a) An acute-angled, 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 outside of the triangle.