# What is the centroid of a triangle with corners at #(3, 2 )#, #(1,5 )#, and #(0 , 9 )#?

The

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To find the centroid of a triangle with vertices at (x₁, y₁), (x₂, y₂), and (x₃, y₃), you can use the formula:

Centroid = ((x₁ + x₂ + x₃) / 3, (y₁ + y₂ + y₃) / 3)

Given the vertices: Vertex 1: (3, 2) Vertex 2: (1, 5) Vertex 3: (0, 9)

Using the formula:

Centroid = ((3 + 1 + 0) / 3, (2 + 5 + 9) / 3)

Calculating:

Centroid = ((4 / 3), (16 / 3))

So, the centroid of the triangle is approximately (1.33, 5.33).

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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.

- What is the centroid of a triangle with corners at #(3, 1 )#, #(5, 2 )#, and #(12 , 6 )#?
- What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(9 ,5 )#, and (7 ,6 )#?
- A triangle has corners A, B, and C located at #(8 ,7 )#, #(4 ,5 )#, and #(6 , 7 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the centroid of a triangle with corners at #(4 , 5 )#, #(3 , 8 )#, and #(7 , 2 )#?
- A line segment is bisected by line with the equation # 6 y - 7 x = 3 #. If one end of the line segment is at #(4 ,2 )#, where is the other end?

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