x sin2A x sin2B x sin2C y sin2A y sin2B y sin2C

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(MATHS)
Co-ordinates of the Centre of Triangle
2). In-center:-
If A (x1,y1), B (x2,y2) and C (x3,y3) are the vertices of ∆ABC and BC =a , CA=b and
AB=c , then the co-ordinate of its incenter are
 ax  bx 2  cx 3 ay1  by2  cy3 
O  x, y    1
,

 abc
abc 
3). Circumcentre:-
If A (x1,y1), B (x2,y2) and C (x3,y3) are the vertices of ∆ABC then the co-ordinate
of its circumcenter are
 x1 sin 2A  x 2 sin 2B  x 3 sin 2C y1 sin 2A  y 2 sin 2B  y 3 sin 2C 
O  x, y   
,


sin 2A  sin 2B  sin 2C
sin 2A  sin 2B  sin 2C 
Date of Release – 29-April-16
SUBJECT- MATHS
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