In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x =4. Then area of ABC (in sq. units)
As we learned
Selection formula -
- wherein
If P(x,y) divides the line joining A(x1,y1) and B(x2,y2) in ration
Mid-point formula -
- wherein
If the point P(x,y) is the mid point of line joining A(x1,y1) and B(x2,y2) .
Median through C is x=4
So coordinates of C are (4,y)
mid point of A(1,2) and C(2y) is
Centroid C1 = (y,1) passes through medians x=1 and x+y=4
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