Let ∆ABC be a triangle in R2 . Show that the centroid G is located at...

Let ∆ABC be a triangle in R2 . Show that the centroid G is located at the

average position of the three vertices:

G = 1/3(A + B + C).

Expert Solution

Here we use the properties of centroid and median of a triangle.

We also make use of "Internal Division Formula" for line segment.

Hence the centroid = (A+B+C)/3.

Colby Messinger answered 9 months ago

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Question

Let ∆ABC be a triangle in R2 . Show that the centroid G is located at...

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Expert Solution

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