The centroid of an equilateral triangle ΔPQR is L. PQ = 18 cm, then the length if PL is :
Answer & explanation
Correct answer: option 3
We know that,
Centroid Divide the median in the ratio 2 : 1
We have,
PQ = 18 cm
Circumradius of Equilateral triangle = side of equilateral triangle/ \(\sqrt {3}\)
So,PL = PQ/\(\sqrt {3}\)
= PL = 18/\(\sqrt {3}\)
= PL = 6\(\sqrt {3}\) cm.