maximum height possible when you construct height with minimum number of nodes.

**Minimum number of nodes required to form a AVL tree with height h = 1 + Nodes(h-1) + Nodes (h-2)**

let root height = 0

height-0 = 1 node required

height-1 = 2 node required

height-2 = 4 node required

height-3 = 7 node required

height-4 = 12 node required

height-5 = 20 node required

height-6 = 33 node required

height-7 = 54 node required ===> Maximum height possible with 54 node is height-7 when root height = 0