1.

Find the coordinate of the centroid of triangle whose vertices are the following A(4,6), B(6, 3) and C(5,9)1. (5, 6)2. (5, 5)3. (6, 5)4. (6, 6)

Answer» Correct Answer - Option 1 : (5, 6)

Given:

The vertices of the triangle A, B and C = (4, 6), (6, 3) and (5, 9)

Formula used:

[(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where, x1 = 4, x2 = 6, x3 = 5, y1 = 6, y2 = 3 and y3 = 9

Calculation:

According to the question

[(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

⇒ [(4 + 6 + 5)/3, (6 + 3 + 9)/3]

⇒ [(15/3), (18/3)]

⇒ (5, 6)

∴ The centroid of the triangle is (5, 6)



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