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Question

Draw a triangle with two sides equal to 4 cm and 5 cm and the angle between them is 60. Then the circumcentre of this triangle lies inside the triangle.





A

True

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B

False

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Solution

The correct option is A

True


Draw triangle ABC with the given specifications, AB=4 cm, AC = 5 cm and BAC = 60.

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 circumcircle of ABC.

From the above constructions, we see that the circumcentre lies inside the triangle.

Hence the given statement is true.


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