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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.


  1. True

  2. 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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