Let G be the centroid of an equilateral triangle ABC where the perimeter of the triangle is 24 cm. Then find the length of AG.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e.
cm
Let 'a' be the side of ΔABC.
Perimeter = 3a = 24
⇒ a = 8
Height of the equilateral triangle = 
a = × 8 = 4√3
Centroid divides the height in 2 : 1
So,
Length of AG = 
height of equilateral traingle = × 4√3 =cm