Q. 27
The centroid of a triangle is (2, 7) and two of its vertices are (4, 80 and (-2, 6). The third vertex is
A. (0, 0)
B. (4, 7)
C. (7, 4)
D. (7, 7)
Answer :
Let A(4, 8) and B(− 2, 6) be the given vertex. Let C (h, k) be the third vertex.
The centroid of △ABC is
It is given that the centroid of triangle ABC is (2, 7).
⇒ h = 4, k = 7
Thus, the third vertex is (4, 7).
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