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Two vertices of a triangle are …

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Two vertices of a triangle are at (-3,1)& (0,2) and centroid is at origin , find its third vertex
  • 1 answers

Sia ? 6 years, 6 months ago

Let the coordinates of the third vertex be (x, y). Then by centroid formula, coordinates of centroid  of given triangle  are,

{tex}\left( \frac { x - 3 + 0 } { 3 } , \frac { y + 1 - 2 } { 3 } \right) = \left( \frac { x - 3 } { 2 } , \frac { y - 1 } { 3 } \right){/tex}
We have centorid is at origin (0, 0)
{tex}\therefore \frac { x - 3 } { 3 } = 0 \quad \text { and } \frac { y - 1 } { 3 } = 0{/tex}
{tex}\Rightarrow{/tex}x - 3 = 0 {tex}\Rightarrow{/tex}y - 1 = 0
{tex}\Rightarrow{/tex}x = 3{tex}\Rightarrow{/tex}y = 1
Hence, the coordinates of the third vertex are (3, 1).

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