10 grade maths
Find the centroid of a triangle whose vertices are (0,6), (8,12) and (8,0).
Find the centroid of a triangle whose vertices are (0,6), (8,12) and (8,0).
1 Answer
Askiitians Tutor Team
To find the centroid of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), you can use the following formulas:
Centroid_x = (x₁ + x₂ + x₃) / 3
Centroid_y = (y₁ + y₂ + y₃) / 3
In this case, the vertices of the triangle are (0, 6), (8, 12), and (8, 0).
Let's calculate the centroid:
Centroid_x = (0 + 8 + 8) / 3 = 16 / 3 ≈ 5.33
Centroid_y = (6 + 12 + 0) / 3 = 18 / 3 = 6
So, the centroid of the triangle is approximately (5.33, 6).
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