Question: In a binary tree, what is the height of a tree with only one node?
Options:
0
1
2
Undefined
Correct Answer: 0
Solution:
The height of a tree with only one node is 0, as height is defined as the number of edges on the longest path from the root to a leaf.
In a binary tree, what is the height of a tree with only one node?
Practice Questions
Q1
In a binary tree, what is the height of a tree with only one node?
0
1
2
Undefined
Questions & Step-by-Step Solutions
In a binary tree, what is the height of a tree with only one node?
Step 1: Understand what a binary tree is. A binary tree is a structure that has nodes, where each node can have up to two children.
Step 2: Identify what is meant by 'height' of a tree. The height of a tree is defined as the number of edges on the longest path from the root node to a leaf node.
Step 3: Consider a tree with only one node. This single node is the root and also a leaf because it has no children.
Step 4: Determine the longest path from the root to a leaf. Since there are no edges (connections) in a tree with only one node, the longest path has 0 edges.
Step 5: Conclude that the height of a tree with only one node is 0.
Height of a Binary Tree – The height of a binary tree is defined as the number of edges on the longest path from the root node to a leaf node.
Node Definition – Understanding that a tree with only one node has no edges, as it consists solely of the root.
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