Question

The circumcentre of an acute triangle always lies:
(consider using examples)

• 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 A inside the triangle

$\underset{–}{\text{Circumcentre:}}$
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 acute triangle always lies inside the triangle.

Hence, option(a.) is correct.