The centroid of an equilateral triangle ΔABC is O. If AB = 27 cm, then the length of AO is :
Answer & explanation
Correct answer: option 1
AB = 27 cm
Height of traingle = \(\frac{2}{√3}\) × Side of triangle
= \(\frac{√3}{2}\) × 27
= \(\frac{27√3}{2}\)
Now, AO = \(\frac{2}{3}\) × Height of triangle
= \(\frac{2}{3}\) × \(\frac{27√3}{2}\)
= 9√3 cm