Question 3 iv The points A x 1- y 1- B x 2- y 2 and C x 3- y 3 are the vertices of - ABC- What are the coordinates of the centroid of the triangle ABC -

Coordinate of the centriod of the Δ ABC = ( Sum of abscissa of all vertices/3,Sum of ordinate of all vertices/3 ) = ( x_1+x_2+x_3/3,y_1+y_2+y_3/3 ) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Collinearity Condition

Question 3 iv...

Question

Question 3 (iv)
The points $A (x_{1}, y_{1}), B (x_{2}, y_{2}) a n d C (x_{3}, y_{3})$ are the vertices of $Δ$ ABC. What are the coordinates of the centroid of the triangle ABC?

Open in App

Solution

Coordinate of the centriod of the $Δ$ ABC
$= (\frac{S u m o f a b s c i s s a o f a l l v e r t i c e s}{3}, \frac{S u m o f o r d i n a t e o f a l l v e r t i c e s}{3}) = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})$

Suggest Corrections

Similar questions

Q. Question 7 (v)
Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC.
(e) If

A (x_{1}, y_{1}), B (x_{2}, y_{2}) a n d C (x_{3}, y_{3})

are the vertices of triangle ABC, find the coordinates of the centroid of the triangle.

Find the centroid of the triangle with vertices A $(x_{1}, y_{1})$ , B $(x_{2}, y_{2})$ and C $(x_{3}, y_{3})$ .

Show that the coordinates of the centroid of the triangle with vertices $A (x_{1}, y_{1}, z_{1})$ , $B (x_{2}, y_{2}, z_{2})$ and $C (x_{3}, y_{3}, z_{3})$ is $(\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3}, \frac{z_{1} + z_{2} + z_{3}}{3})$ .

Show that the centroid of the triangle with vertices A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is
((x1+x2+x3)/3, (y1+y2+y3)/3, (z1+z2+z3)/3).

Q. Question 3 (i)
The points

A (x_{1}, y_{1}), B (x_{2}, y_{2}) a n d C (x_{3}, y_{3})

are the vertices of

Δ

ABC.
The median from A meets BC at D. find the coordinates of the point D.

Join BYJU'S Learning Program

Question 3 (iv) The points A(x1,y1),B(x2,y2) and C(x3,y3) are the vertices of Δ ABC. What are the coordinates of the centroid of the triangle ABC?

Coordinate of the centriod of the Δ ABC =(Sum of abscissa of all vertices3,Sum of ordinate of all vertices3)=(x1+x2+x33,y1+y2+y33)

Question 3 (iv)
The points $A (x_{1}, y_{1}), B (x_{2}, y_{2}) a n d C (x_{3}, y_{3})$ are the vertices of $Δ$ ABC. What are the coordinates of the centroid of the triangle ABC?

Coordinate of the centriod of the $Δ$ ABC
$= (\frac{S u m o f a b s c i s s a o f a l l v e r t i c e s}{3}, \frac{S u m o f o r d i n a t e o f a l l v e r t i c e s}{3}) = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})$