A(-3,-4) B(-5,0) C(3,0) are the vertices of triangle ABC .find the Co-ordinate of the circumcerter of triangle ABC
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Let the circumcentre be O(h,k)
O is equidistant from all points
The points given are A(-3, 4) , B(-5, 0) and C(3 ,0)
The circumcircle passes through A, B and C
thus,
AO = BO = CO
==> AO² = BO² = CO²
Distance formula
D =
AO² = BO²
AO² = CO²
Now substituting the value of h in k = -4h/8
Hence, the coordinates of circumcentre are
Radius = OC
Step-by-step explanation:
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