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प्रश्न
The coordinates of the centroid I of triangle PQR are (2, 5). If Q = (-6, 5) and R = (7, 8). Calculate the coordinates of vertex P.
उत्तर
Let G be the centroid of Δ PQR whose coordinates are (2 , 5) and let (x , y) be the coordinates of vertex P.
Coordinates of G are ,
G (2 , 5) = G `(("x" - 6 + 7)/3 , ("y" + 5 + 8)/3)`
`2 = ("x" + 1)/3 , 5 = ("y" + 13)/3`
6 = x + 1 , 15 = y + 13
x = 5 , y =2
coordinates of vertex P are (5 , 2)
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