(Math Quiz 10 – CT) In the coordinate plane Oxy for the points M(0; 4), N(–3; 2) and P(9; –3). The coordinates of the centroid G of the triangle MNP are:


  • Question:

    In the coordinate plane Oxy for the points M(0; 4), N(–3; 2) and P(9; –3). The coordinates of the centroid G of the triangle MNP are:

    Reference explanation:

    Correct Answer: EASY

    The coordinates of the centroid G of the triangle MNP are:

    \(\left\{ {\begin{array}{*{20}{c}}
    {{x_G} = \frac{{{x_M} + {x_N} + {x_P}}}{3} = \frac{{0 + \left( { – 3} \right) + 9}}{3} = 2}\\
    {{y_G} = \frac{{{y_M} + {y_N} + {y_P}}}{3} = \frac{{4 + 2 + \left( { – 3} \right)}}{3} = first}
    \end{array}} \right. \Rightarrow G\left( {2;1} \right)\,\)

    EASY ANSWER

    ADSENSE

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