Practice - Triangle Inequality Theorem
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Practice Questions
Test your understanding with targeted questions
Can a triangle be formed with side lengths 2, 3, and 4? Explain.
💡 Hint: Check each condition of the inequalities.
Can you form a triangle with side lengths 6, 8, and 13? Why or why not?
💡 Hint: Try using different combinations.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What condition must always be satisfied for three lengths to form a triangle?
💡 Hint: Think about what happens if they don't support each other.
If a triangle has sides of lengths 5, 6, and 10, can it form a triangle?
💡 Hint: Check if they satisfy the triangle inequality conditions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the lengths of 8, 15, and 22, determine if these lengths can form a triangle and justify your answer.
💡 Hint: Test each combination of the sums.
Create a scenario involving a physical triangle that could lead to a structural failure due to these lengths not fulfilling the triangle inequality.
💡 Hint: Think about real-life applications in construction.
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