What is the centroid of a triangle with corners at $(2, 7)$ $(2, 7 )$ , $(1, 5)$ $(1,5 )$ , and $(7, 5)$ $(7 , 5 )$ ?

Question

What is the centroid of a triangle with corners at $(2, 7)$ $(2, 7 )$ , $(1, 5)$ $(1,5 )$ , and $(7, 5)$ $(7 , 5 )$ ?

1 Answer

Related questions

What is the centroid of a triangle with corners at $(5, 1)$ $(5, 1)$ , $(4, 9)$ $(4, 9)$ , and $(7, 2)$ $(7,2)$ ?
What is the centroid of a triangle with corners at $(5, 2)$ $(5, 2 )$ , $(2, 5)$ $(2, 5)$ , and $(7, 2)$ $(7,2)$ ?
What is the centroid of a triangle with corners at $(5, 2)$ $(5, 2 )$ , $(2, 5)$ $(2, 5 )$ , and $(5, 3)$ $(5,3 )$ ?
What is the centroid of a triangle with corners at $(1, 4)$ $(1, 4 )$ , $(3, 5)$ $(3, 5 )$ , and $(5, 3)$ $(5,3 )$ ?
What is the centroid of a triangle with corners at $(1, 1)$ $(1, 1 )$ , $(3, 2)$ $(3, 2 )$ , and $(8, 6)$ $(8 , 6 )$ ?
What is the centroid of a triangle with corners at $(6, 1)$ $(6, 1 )$ , $(2, 2)$ $(2, 2 )$ , and $(1, 6)$ $(1 , 6 )$ ?
What is the centroid of a triangle with corners at $(3, 1)$ $(3, 1 )$ , $(5, 2)$ $(5, 2 )$ , and $(12, 6)$ $(12 , 6 )$ ?
What is the centroid of a triangle with corners at $(3, 2)$ $(3, 2 )$ , $(5, 5)$ $(5,5 )$ , and $(12, 9)$ $(12 , 9 )$ ?
What is the centroid of a triangle with corners at $(3, 2)$ $(3, 2 )$ , $(1, 5)$ $(1,5 )$ , and $(0, 9)$ $(0 , 9 )$ ?
What is the centroid of a triangle with corners at $(4, 7)$ $(4, 7 )$ , $(1, 2)$ $(1,2 )$ , and $(8, 5)$ $(8 , 5 )$ ?

Impact of this question

2421 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-10T10:00:55

Centroid is $(\frac{10}{3}, \frac{17}{3})$ $(10/3,17/3)$

Explanation:

For triangle with vertices $(x_{1}, y_{1}), (x_{2}, y_{2})$ $(x_1,y_1), (x_2,y_2)$ and $(x_{3}, y_{3})$ $(x_3,y_3)$
The centroid $G (x, y)$ $G(x,y)$ where formula to find $x$ $x$ and $y$ $y$ is given by

$x = \frac{x_{1} + x_{2} + x_{3}}{3}$ $x=(x_1+x_2+x_3)/3$ and $y = \frac{y_{1} + y_{2} + y_{3}}{3}$ $y=(y_1+y_2+y_3)/3$

Now let us apply this to our problem.

Vertices are given as $(2, 7), (1, 5)$ $(2,7),(1,5)$ and $(7, 5)$ $(7,5)$

$x_{1} = 2, y_{1} = 7$ $x_1=2, y_1=7$

$x_{2} = 1, y_{2} = 5$ $x_2=1, y_2=5$

$x_{3} = 7, y_{3} = 5$ $x_3=7,y_3=5$

$x = \frac{2 + 1 + 7}{3}$ $x=(2+1+7)/3$ and $y = \frac{7 + 5 + 5}{3}$ $y=(7+5+5)/3$
$x = \frac{10}{3}$ $x=10/3$ and $y = \frac{17}{3}$ $y=17/3$

Centroid $G (x, y) = (\frac{10}{3}, \frac{17}{3})$ $G(x,y) = (10/3,17/3)$

Science

Math

Humanities

... and beyond

What is the centroid of a triangle with corners at $(2, 7)$ $(2, 7 )$ , $(1, 5)$ $(1,5 )$ , and $(7, 5)$ $(7 , 5 )$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the centroid of a triangle with corners at (2, 7 )(2,7)(2, 7 ), (1,5 )(1,5)(1,5 ), and (7 , 5 )(7,5)(7 , 5 )?

1 Answer

Explanation:

Related questions

Impact of this question

What is the centroid of a triangle with corners at $(2, 7)$ $(2, 7 )$ , $(1, 5)$ $(1,5 )$ , and $(7, 5)$ $(7 , 5 )$ ?