how to find circumcenterof a triangle

Answer :

We know " The point where the perpendicular bisectors of sides of a triangle meet is called the Circumcenter. It lies inside for an acute triangle , outside for an obtuse triangle and at the center of the hypotenuse for the right triangle. "

So , If we have a triangle ABC and wants to find circumcenter , we follow these steps :


Step 1 : Take radius more than half of AC and take center " A "  draw two arc on both side of line AC . And with same radius take center " C "  draw two arc on both side of line AC . Both arc intersect at " E  "  and " F "

Step 2: Join EF  .

Step 3 : Take radius more than half of BC and take center " B "  draw two arc on both side of line BC . And with same radius take center " C "  draw two arc on both side of line BC . Both arc intersect at " G  "  and " H "

Step 4: Join GH .

Where line EF and GH intersect that is called circumcenter " O "  , here OA  =  OB  =  OC  =  radius of that circumcircle  .

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