Unit test: line and triangle relationships - part 1 question 8

What are the coordinates of the centroid of a triangle with vertices P(−4, −1), Q(2, 2), and R(2, −3)?

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( , )

Step-by-step explanation:

Given that:

The coordinates of the vertices of a triangle are given as:

, , and .

To find:

The coordinates of the centroid of the triangle.

Solution:

The coordinates of the centroid of a triangle is given as:

Where are the coordinates of the vertices of the triangle.

As per the given values, we have:

Putting the values,we can find the coordinates of centroid as:

Therefore, the coordinates of the centroid is:

step-by-step explanation: