AD is the median of ΔABC. G is the centroid of ΔABC. If AG = 14 cm, then what is the length of AD ?
Answer & explanation
Correct answer: option 4
Concept Used
Centroid = intersection of the medians
Centroid divides median in ratio of 2 : 1
Calculation
We know that G is centroid of \(\Delta \)ABC
AG = 14 cm
Also, AG : GD = 2 : 1
= \(\frac{AG}{GD}\) = \(\frac{2}{1}\)
= GD = \(\frac{AG}{2}\)
= GD = \(\frac{14}{2}\) = 7 cm
= AD = AG + GD
= 14 + 7 = 21 cm.
Therefore, AD is 21 cm.