Triangle Inequality Theorem Problems
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
If the side lengths of a triangle are 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?
Back
Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
3.
FLASHCARD QUESTION
Front
Can a triangle have side lengths of 2, 2, and 5?
Back
No, because 2 + 2 is not greater than 5.
4.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if two sides of a triangle are 7 and 10?
Back
The minimum length of the third side must be greater than 3 (10 - 7).
5.
FLASHCARD QUESTION
Front
What is the maximum length of the third side if two sides of a triangle are 7 and 10?
Back
The maximum length of the third side must be less than 17 (7 + 10).
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8, 15, and 17, is it a valid triangle?
Back
Yes, because 8 + 15 > 17, 8 + 17 > 15, and 15 + 17 > 8.
7.
FLASHCARD QUESTION
Front
What happens if the sum of two sides of a triangle equals the length of the third side?
Back
The figure is not a triangle; it forms a straight line.
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