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

Question

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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    0
    2022-01-11T21:30:19+00:00

    Answer: The centroid of the triangle PQR is (0,\frac{-2}{3} ).

    Explanation:

    It is given that the vertices of the triangle are P(−4, −1) , Q(2, 2) , and R(2, −3).

    The formula to find the coordinates of the centroid of a triangle is,

    \text{coordinates of centroid}=(\frac{x_1+x_2+x_3}{3} ,\frac{y_1+y_2+y_3}{3} )

    We have coordinates of all vertices, so we can directly substitute the values in the above mentioned formula.

    \text{coordinates of centroid}=(\frac{-4+2+2}{3} ,\frac{-1+2+(-3)}{3} )

    \text{coordinates of centroid}=(\frac{0}{3} ,\frac{-2}{3} )

    \text{coordinates of centroid}=(0,\frac{-2}{3} )

    Therefore the  coordinates of the centroid of a triangle PQR is (0,\frac{-2}{3} ).

    0
    2022-01-11T21:31:08+00:00

    Answer:

    (0,-0.6667)

    Step-by-step explanation:

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

    = ((-4 + (2) + (2))/3, (-1 + (2) + (-3))/3)

    = (0/3, -2/3)

    = (0, -0.6667)

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