Practicing Success
The centroid of an equilateral ΔXYZ is L. If XY = 12 cm, then the length of XL (in cm), is: |
$5\sqrt{3}$ $4\sqrt{3}$ $2\sqrt{3}$ $3\sqrt{3}$ |
$4\sqrt{3}$ |
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 |