# What is the centroid of a triangle with corners at #(1 , 3 )#, #(6 , 9 )#, and #(2 , 7 )#?

The centroid is

The following formula is needed to determine the centroid:

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To find the centroid of a triangle with vertices at coordinates ( (x_1, y_1) ), ( (x_2, y_2) ), and ( (x_3, y_3) ), use the formula:

[ \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right) ]

Substitute the given coordinates into this formula:

[ \left( \frac{1 + 6 + 2}{3}, \frac{3 + 9 + 7}{3} \right) ]

Simplify the expressions:

[ \left( \frac{9}{3}, \frac{19}{3} \right) ]

So, the centroid of the triangle is at ( \left( 3, \frac{19}{3} \right) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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