Question

Draw a triangle with two sides equal to 4 cm and 5 cm and the angle between them is 120${}^{\circ }$. Then the circumcentre of this triangle lies inside the triangle.

• A. True
• B. False

Answer 1

The correct option is B

False

Draw triangle ABC with the given specifications, AB=4 cm, AC = 5 cm and $\angle$BAC = 120${}^{\circ }$.

Draw perpendicular bisectors of sides AB and AC, they meet at O. Join OB.

So, O is the centre and OB is the radius of the circumcircle of $△$ABC.

From the above constructions, we see that the circumcentre O lies outside the $△$ABC.

Hence the given statement is false.