Practice Finding Number Of Diagonals (23.3.1) - Full Binary Tree Definition
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Finding Number of Diagonals

Practice - Finding Number of Diagonals

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many diagonals does a triangle have?

💡 Hint: Remember a triangle has no non-adjacent vertices.

Question 2 Easy

Calculate the number of diagonals in a square.

💡 Hint: Use the formula with n = 4.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many diagonals does a pentagon have?

5
10
15

💡 Hint: Think about the formula for diagonals.

Question 2

True or False: A triangle has diagonals.

True
False

💡 Hint: Consider what defines a diagonal.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a polygon has 12 sides, calculate the number of diagonals and describe the relationship between the number of sides and diagonals.

💡 Hint: Remember the formula and notice the pattern in diagonal counts.

Challenge 2 Hard

Explain how the diagonal formula could be extended to non-convex polygons and the considerations you would need to make.

💡 Hint: Think about how non-adjacency applies in different polygon types.

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Reference links

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