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$IXL - Find the centroid of a tria ixl.com/math/geometry/find-the-centroid-of-a-triangle History A. Pele - Document - G... Frederick Douglass... Pelé - Document - G... Pele - Docum What are the coordinates of the centroid of /_\ABC ?$

IXL - Find the centroid of a tria $\newline$ ixl.com/math/geometry/find-the-centroid-of-a-triangle $\newline$ History A. $\newline$ Pele - Document - G... $\newline$ Frederick Douglass... $\newline$ Pelé - Document - G... $\newline$ Pele - Docum $\newline$ What are the coordinates of the centroid of $\triangle A B C$ ?

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Q. IXL - Find the centroid of a tria

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ixl.com/math/geometry/find-the-centroid-of-a-triangle

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History A.

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Pele - Document - G...

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Frederick Douglass...

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Pelé - Document - G...

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Pele - Docum

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What are the coordinates of the centroid of

\triangle A B C

Triangle Vertices: To find the centroid of a triangle, we need the coordinates of the vertices. Let's say the vertices of triangle ABC are $A(x_1, y_1)$ , $B(x_2, y_2)$ , and $C(x_3, y_3)$ .
Centroid Formula: The formula for the centroid (G) is $G = \left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right)$ . We need to plug in the coordinates of the vertices into this formula.
Substitute Coordinates: Let's assume the coordinates of A, B, and C are A( $2$ , $4$ ), B( $6$ , $0$ ), and C( $0$ , $6$ ). Now we substitute these into the formula.
Calculate x-coordinate: Calculating the x-coordinate of the centroid: $(2 + 6 + 0)/3 = 8/3 = 2.67$ , which is approximately $2.7$ .
Calculate y-coordinate: Calculating the y-coordinate of the centroid: $(4 + 0 + 6)/3 = 10/3 = 3.33$ , which is approximately $3.3$ .
Correct Mistake: So, the coordinates of the centroid are approximately $(2.7, 3.3)$ . But wait, I made a mistake in the division. Let's fix it.