In ? ABC, the distance of centroid from the vertex A is 7 cm, then find the length median-

The centroid divides each median in a 2:1 ratio, with the longer segment being from the vertex to the centroid. If the distance from vertex A to the centroid is 7 cm, then this represents 2/3 of the median. Therefore, the complete median length = 7 × (3/2) = 10.5 cm. This is a fundamental property of centroids in triangles.