What is the type of the following Binary Tree? Apply preorder and postorder traversals on the following tree.

9
/ \
6 12
/ \ \
5 11 15
\ /
8 13
/
14

To determine the type of the given binary tree and perform preorder and postorder traversals, let's break down the information step-by-step.
Type of Binary Tree
The type of binary tree described in this question is likely a Binary Search Tree (BST) , assuming it follows the property where for each node, the values in its left subtree are less than the node's value, and the values in its right subtree are greater.
Preorder Traversal
In preorder traversal, the nodes are recursively visited in this order: root, left, right.
For the given binary tree:
9 / \ 6 12 / \ \ 5 11 15 \ / 8 13 / 14
Preorder Traversal:

Visit root: 9
Traverse left subtree of 9:
Visit root: 6
Traverse left subtree: 5
Traverse right subtree:
Visit root: 11
Right child: 8




Traverse right subtree of 9:
Visit root: 12
Traverse right subtree: 15
Traverse left subtree:
Visit root: 13
Left child: 14







Hence, the preorder traversal is: 9, 6, 5, 11, 8, 12, 15, 13, 14
Postorder Traversal
In postorder traversal, the nodes are recursively visited in this order: left, right, root.
For the same binary tree:
Postorder Traversal:

Traverse left subtree of 9:
Traverse left subtree: 5
Traverse right subtree:
Visit left child: 8
Visit root: 11


Visit root: 6


Traverse right subtree of 9:
Traverse right subtree:
Visit left child: 14
Visit root: 13


Visit root: 15


Visit root: 12
Visit root: 9

Hence, the postorder traversal is: 5, 8, 11, 6, 14, 13, 15, 12, 9
Conclusion
By providing these step-by-step processes, you can accurately determine the order of traversal for both preorder and postorder methods for the given tree structure.

Answered by SophiaElizab | 2025-07-06