Recall & Review
beginner
What is the height of a binary tree?
The height of a binary tree is the number of edges on the longest path from the root node to a leaf node. It measures how tall the tree is.
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beginner
How do you calculate the height of a binary tree recursively?
To calculate height recursively, find the height of left and right subtrees, then take the maximum of these two heights and add 1 for the current node.
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beginner
What is the height of an empty binary tree?
The height of an empty binary tree is defined as -1 because there are no nodes and no edges.
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intermediate
Why is height important in binary trees?
Height helps understand the tree's balance and efficiency. Smaller height means faster operations like search, insert, and delete.
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beginner
What is the height of a binary tree with only one node (root)?
The height is 0 because there are no edges from the root to any leaf (root itself is the leaf).
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What does the height of a binary tree represent?
✗ Incorrect
Height counts edges on the longest path from root to leaf, not nodes or children count.
What is the height of an empty binary tree?
✗ Incorrect
By definition, empty tree height is -1 because no nodes or edges exist.
How do you find the height of a binary tree recursively?
✗ Incorrect
Height is max height of subtrees plus 1 for current node.
What is the height of a binary tree with only root node?
✗ Incorrect
Only root means no edges, so height is 0.
Why is knowing the height of a binary tree useful?
✗ Incorrect
Height helps assess tree balance and speed of operations.
Explain how to calculate the height of a binary tree using recursion.
Think about how you visit each node and combine subtree heights.
You got /4 concepts.
Describe why the height of a binary tree matters in practical use.
Consider how tall a tree is and how that affects work done.
You got /4 concepts.