The height of the binary tree is 3.

Here's how we can determine this:

1. From the postorder traversal, we know that the last element is the root of the tree, which is 1.

2. From the inorder traversal, we know that the elements to the left of 1 (8,6,9,4,7,2,5) are in the left subtree and the elements to the right of 1 (3) are in the right subtree.

3. We can then split these elements further based on the postorder traversal. For the left subtree, the last element in the postorder traversal (5) is the root. The elements to the left of 5 in the inorder traversal (8,6,9,4,7,2) are in the left subtree and there are no elements to the right of 5.

4. We can continue this process until we have identified all the nodes in the tree.

5. The height of the tree is the maximum number of edges in a path from the root to a leaf. In this case, the longest path is 1-5-2-7, which has 3 edges. Therefore, the height of the tree is 3.

Question

The height of the binary tree is 3.

Here's how we can determine this:

1. From the postorder traversal, we know that the last element is the root of the tree, which is 1.

2. From the inorder traversal, we know that the elements to the left of 1 (8,6,9,4,7,2,5) are in the left subtree and the elements to the right of 1 (3) are in the right subtree.

3. We can then split these elements further based on the postorder traversal. For the left subtree, the last element in the postorder traversal (5) is the root. The elements to the left of 5 in the inorder traversal (8,6,9,4,7,2) are in the left subtree and there are no elements to the right of 5.

4. We can continue this process until we have identified all the nodes in the tree.

5. The height of the tree is the maximum number of edges in a path from the root to a leaf. In this case, the longest path is 1-5-2-7, which has 3 edges. Therefore, the height of the tree is 3.

Knowee AI · Accepted Answer

The height of the binary tree is 3.

Here's how we can determine this:

1. From the postorder traversal, we know that the last element is the root of the tree, which is 1.

2. From the inorder traversal, we know that the elements to the left of 1 (8,6,9,4,7,2,5) are in the left subtree and the elements to the right of 1 (3) are in the right subtree.

3. We can then split these elements further based on the postorder traversal. For the left subtree, the last element in the postorder traversal (5) is the root. The elements to the left of 5 in the inorder traversal (8,6,9,4,7,2) are in the left subtree and there are no elements to the right of 5.

4. We can continue this process until we have identified all the nodes in the tree.

5. The height of the tree is the maximum number of edges in a path from the root to a leaf. In this case, the longest path is 1-5-2-7, which has 3 edges. Therefore, the height of the tree is 3.

The postorder traversal of a binary tree is 8,9,6,7,4,5,2,3,1. The inorder traversal of the same tree is 8,6,9,4,7,2,5,1,3. The height of a tree is the length of the longest path from the root to any leaf. The height of the binary tree above is ______.*2 points8642

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