# What is the centroid of a triangle with corners at #(9 , 5 )#, #(6 , 0 )#, and #(2 , 3 )#?

The centroid is located at

The intersection of the medians determines a triangle's centroid, which can be found using the following formula:

The centroid is

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To find the centroid of a triangle with vertices at (9, 5), (6, 0), and (2, 3), you can use the formula for the centroid of a triangle, which is the average of the coordinates of its vertices.

Let the vertices be A(9, 5), B(6, 0), and C(2, 3).

The centroid G is calculated as follows: [ G_x = \frac{x_1 + x_2 + x_3}{3} ] [ G_y = \frac{y_1 + y_2 + y_3}{3} ]

Substitute the coordinates of the vertices into these formulas: [ G_x = \frac{9 + 6 + 2}{3} = \frac{17}{3} ] [ G_y = \frac{5 + 0 + 3}{3} = \frac{8}{3} ]

So, the coordinates of the centroid G are ( \left(\frac{17}{3}, \frac{8}{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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- A triangle has corners A, B, and C located at #(8 ,3 )#, #(4 ,5 )#, and #(6 , 7 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A line segment is bisected by a line with the equation # 4 y + 3 x = 8 #. If one end of the line segment is at #( 1 , 8 )#, where is the other end?
- A triangle has vertices at #A(a,b )#, #C(c,d)#, and #O(0,0)#. What are the endpoints and length of the perpendicular bisector of AC ?

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