What are the coordinates of the centroid of a triangle with vertices D(0,1),E(2,6), and F(7,2) enter your answer in the boxes
1 answer:
The coordinates of centroid of given triangle are: (3,3)
Step-by-step explanation:
Given
D(0,1) = (x1,y1)
E(2,6) = (x2,y2)
F(7,2) = (x3,y3)
The centroid of a triangle when the vertices are known is given by:
Putting the values
Hence,
The coordinates of centroid of given triangle are: (3,3)
Keywords: Triangle, centroid
Learn more about triangles at:
#LearnwithBrainly
You might be interested in
Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.