Question

Find the Y-coordinate of the centroid of a triangle whose vertices are (4, –3), (7, 5) and (–2, 1).

Answer 1

Vertices of a triangle,

(4, –3), (7, 5) and (–2, 1)  .....[Given]

x₁ = 4, Xz = 7, x₃ = –2

y₁ = –3, y₂ = 5, y₃ = 1

By using the centroid formula,

`[(x_1 + x_2 + x_3)/3, ("y"_1 + "y"_2 + "y"_3)/3]` = coordiante of centroid

Now, Y-coordinate of centroid = `[("y"_1 + "y"_2 + "y"_3)/3]`

= `(-3 + 5 + 1)/3`

= `3/3`

= 1

∴ Y-coordinate of centroid = 1.