Question

in triangle ABC G(-4, -7) is the centroid if A(-14, -19) and B(-1, -7) then find cordinates of C​

Answer 1

Step-by-step explanation:

The ordinates of both B & C are 0. 

So, BC= (abscissa of B−abscissa of C)=(5−1)=4units=a

The side of equilateral ΔABC. 

∴  Its height=23a=23×4=23 units.

Also, the mid point of BC=(25+1,20+0)=(3,0). 

Now, ΔABC is equilateral and BC is on the x-axis. 

So, the abscissa of A will be the mid point of BC.

The ordinate of A will be the height of ΔABC from the mid point of BC.

∴ The coordinates of A are (3,23).