The circumcenter of any triangle is the intersection point of _______ of the three sides of triangle. Fill in the blank with suitable option.

Altitudes

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Angular Bisectors

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Perpendicular bisectors

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Medians

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Solution

The correct option is C Perpendicular bisectors
The circumcenter is the intersection point of all the three perpendicular bisectors of individual sides of a triangle.

Here,L1 is the perpendicular bisector of line BC

L2 is the perpendicular bisector of line AC.

L3 is the perpendicular bisector of line AB.

Point O is the intersection of all the perpendicular bisectors and it is called the circumcentre of triangle ABC.

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Similar questions

Fill in the blanks with < or >.

(a) (Sum of any two sides of a triangle)___(the third side).

(b) (Difference of any two sides of a triangle)___(the third side).

(d) (Sum of any two sides of a triangle)___(twice the median to the 3rd side).

(e) (Perimeter of a triangle)___(sum of its three medians).

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(iii) Triangles are grouped into ………. types according to their angles.

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(a) In right triangle the hypotenuse is the __________ side.

(b) The sum of three altitudes of a triangle is __________ than its perimeter.

(d) If two angles of a triangle are unequal, then the smaller angle has the __________ side opposite to it.

(e) Difference of any two sides of triangle is __________ than the third side.

(f) If two sides of a triangle are unequal, then the larger side has ___________angle opposite to it.

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