Question

The circumcentre of an obtuse triangle always lies:

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

Answer 1

The correct option is B outside the triangle

The point of intersection of all the three perpendicular bisectors of a triangle is called the circumcentre of the triangle.

$\underset{–}{\text{Given:}}$ Triangle is obtuse.


We can observe from the figure that the circumcentre of an obtuse triangle always lies outside the triangle.

Hence, option(b.) is correct.