Practicing Success
In a triangle ABC, G is the centroid. If AB = 11 cm, BC = 14 cm and AC = 7 cm then find the value of GX(in cm)? |
12 6 14 2 |
2 |
Length of median (AX) = \(\frac{1}{2}\)\(\sqrt {2(AB)^2 + 2(AC)^2 - (BC)^2}\) = \(\frac{1}{2}\)\(\sqrt {2(AB)^2 + 2(AC)^2 - (BC)^2}\) = \(\frac{1}{2}\)\(\sqrt {(144)}\) = \(\frac{1}{2}\) × 12 = 6 cm ⇒ Centroid divide median in ratio ⇒ GX = \(\frac{1}{3}\)(AX) = \(\frac{1}{3}\) × 6 = 2 cm |