find the center of the circle passing through {5,-8} , {2,-9} , {2,1}
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Let the vertices of the given triangle be
A (5, -8)
B (2, -9)
C (2, 1)
Let the midpoints of each side (AB, BC & CA) be Q, R, P respectively.
The place where the medians intersect is the centroid, which is the centre of the circle circumscribing the given triangle.
By using the section formula
(use m= 1 = n)
We get coordinates
P ( 7/2, -7/2)
Q (7/2, -17/2)
R (2, -4)
It is a property of triangle that the centroid divides each median in the ratio 2:1
This implies
AO:OR = 2:1
m = 2
n = 1
By using the section formula
A (5, -8)
B (2, -9)
C (2, 1)
Let the midpoints of each side (AB, BC & CA) be Q, R, P respectively.
The place where the medians intersect is the centroid, which is the centre of the circle circumscribing the given triangle.
By using the section formula
(use m= 1 = n)
We get coordinates
P ( 7/2, -7/2)
Q (7/2, -17/2)
R (2, -4)
It is a property of triangle that the centroid divides each median in the ratio 2:1
This implies
AO:OR = 2:1
m = 2
n = 1
By using the section formula
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