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How to find the circumcentre of a triangle with given vertices


SA SA 1st Jan, 2019
Answer (1)
Heena Gagwani 1st Jan, 2019

Let a triangle be represented by PQR as it's three vertices. Let the (x , y) co-ordinates of vertices be given. Now circumcentre of triangle can be found out by following steps :-

  • Consider any two sides of triangle. Suppose PQ and PR. 
  • Now find the midpoint of PQ and PR by using the formula :- { (x1+x2)/2 , (y1+y2)/2 }
  • After finding the midpoint calculate the slope of PQ and PR by using the formula :- { (y2-y1) /(x2-x1) }
  • By using slope and the midpoint of PQ find the bisector equation by using the formula :-    (y-y1)  = m(x-x1).
  • Similarly find out the other bisector equation of PR by (y-y1) = m(x-x1).
  • Now solve the two bisector equations to find the x and y. 
  • Calculated x and y will be the circumcentre of the triangle. 

If you still have any queries feel free to ask in the comment section down below. 

1 Comment
Comments (1)
1st Jan, 2019
Can please give an example for this
Reply

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