Question

# Draw a triangle with two sides equal to 4 cm and 5 cm and the angle between them is 120∘. Then the circumcentre of this triangle lies inside the triangle.True False

Solution

## The correct option is B False Draw triangle ABC with the given specifications, AB=4 cm, AC = 5 cm and ∠BAC = 120∘. 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.

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