Write the coordinates of third vertex of a triangle having centro… - Vidyadip

Question

Write the coordinates of third vertex of a triangle having centroid at the origin and two vertices at (3, -5, 7) and (3, 0, 1).

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Answer

Let the coordinates of third vertex be $(x_1, y_1, z_1)$ Now, $\frac{\text{x}_1+3+3}{3}=0,\ \frac{\text{y}_1+5+0}{3}=0\text{ and }\frac{\text{z}_1+7+1}{3}=0$ $\Rightarrow\text{x}_1 = −6,\ \text{y}_1 = 5\text{ and }\text{z}_1 = −8$ Hence, the coordinates of third vertex of a triangle is (−6, 5, −8).

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