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two coordinates and equation of centroid is given then find third vertex

two coordinates and equation of centroid is given then find third vertex
 

Grade:11

1 Answers

velide harsha
34 Points
6 years ago
Suppose a triangle ∆ABC is given where A(a,b) and B(c,d) are the two points of the triangle. The centroid of the triangle is given as G(p,q), then the third vertex C(x,y) is required to be known.
 
Centroid of a traingle is given by, G=[ A+B+C]÷3
                     That is, 
                                (p,q)= ([a+c+x]÷3, [b+d+y]÷3)
 
Now the coordinates of point C are given by,
        (x,y)= (3p-a-c,3q-b-d) 
 
Hence by substituting the given points in the formula gives you the answer
 
Harsha

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