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Two vertices of a Delta ABC are given by...

Two vertices of a `Delta ABC` are given by A(6, 4) and B(-2, 2), and its centroid is G(3, 4). Find the coordinates of the third vertex C of `Delta ABC`.

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To find the coordinates of the third vertex C of triangle ABC, given the vertices A(6, 4), B(-2, 2), and the centroid G(3, 4), we can use the formula for the centroid of a triangle. The centroid G of a triangle with vertices A(x1, y1), B(x2, y2), and C(x3, y3) is given by: \[ G\left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right) \] ### Step 1: Set Up the Equations Given: ...
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Knowledge Check

  • Two vertices of Delta ABC are A(-1, 4) and B(5, 2) and its centroid is G(0, -3). Then, the coordinates of C are

    A
    (4, 3)
    B
    (4, 15)
    C
    (-4, -15)
    D
    (-15, -4)
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