The centroid of an equilateral ΔXYZ is L. If XY = 12 cm, then the length of XL (in cm), is:
Answer & explanation
Correct answer: option 2
We know that,
Median of equilateral triangle = \(\frac{\sqrt {3}}{2}\) × side
We have,
Side XY = 12 cm
Median XM = \(\frac{\sqrt {3}}{2}\) × 12 = 6\(\sqrt {3}\) cm
XL = \(\frac{2}{3}\) × 6\(\sqrt {3}\)
XL = 4\(\sqrt {3}\) cm