The centroid of an equilateral triangle ΔPQR is L. PQ = 18 cm, then the length if PL is :

$3\sqrt{3}$ cm $5\sqrt{3}$ cm $6\sqrt{3}$ cm $4\sqrt{3}$ cm

$6\sqrt{3}$ cm

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.