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Centroid of the Triangle
Posted by Ayushi on February 8, 2024 at 5:53 pmFind the centroid of the triangle whose vertices are the points A (8, 4) B (1, 3), and C (3, 1).
Nitesh replied 1 week, 1 day ago 2 Members · 1 Reply 
1 Reply

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To find the centroid of a triangle, you need to calculate the average of the xcoordinates and the average of the ycoordinates of its vertices.
Let’s denote the coordinates of point A as (x₁, y₁), the coordinates of point B as (x₂, y₂), and the coordinates of point C as (x₃, y₃).
In this case, A (8, 4), B (1, 3), and C (3, 1), so we have:
x₁ = 8, y₁ = 4
x₂ = 1, y₂ = 3
x₃ = 3, y₃ = 1To find the centroid, we calculate the average of the xcoordinates and the average of the ycoordinates:
x̄ = (x₁ + x₂ + x₃) / 3
ȳ = (y₁ + y₂ + y₃) / 3Substituting the values, we get:
x̄ = (8 + 1 + 3) / 3 = 12 / 3 = 4
ȳ = (4 + 3 – 1) / 3 = 6 / 3 = 2Therefore, the centroid of the triangle with vertices A (8, 4), B (1, 3), and C (3, 1) is located at the point (4, 2).