Draw a triangle with sides equal to 3 cm, 7 cm and 6.5 cm. Then the circumradius of this triangle measures

2.6 cm

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2.9 cm

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3.1 cm

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3.5 cm

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Solution

The correct option is D 3.5 cm
Draw a triangle ABC with the given specifications, AB=6.5 cm, AC = 7 cm and BC = 3 cm.

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 circumradius of $△$ ABC is 3.5 cm.

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