Triangle Inequality Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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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 sides of a triangle are 7 cm, 7 cm, and 7 cm, do they satisfy the Triangle Inequality Theorem?
Back
Yes, because 7 + 7 > 7, 7 + 7 > 7, and 7 + 7 > 7.
3.
FLASHCARD QUESTION
Front
Can the lengths 2 cm, 6 cm, and 7 cm form a triangle?
Back
Yes, because 2 + 6 > 7, 2 + 7 > 6, and 6 + 7 > 2.
4.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can form a triangle: {2, 5, 9}, {6, 6, 7}, {6, 4, 2}, {7, 8, 1}?
Back
Only {6, 6, 7} can form a triangle.
5.
FLASHCARD QUESTION
Front
What is the condition for three lengths to form a triangle?
Back
The sum of the lengths of any two sides must be greater than the length of the third side.
6.
FLASHCARD QUESTION
Front
If the sides of a triangle are 3 cm, 10 cm, and 15 cm, do they satisfy the Triangle Inequality Theorem?
Back
No, because 3 + 10 is not greater than 15.
7.
FLASHCARD QUESTION
Front
What is an example of a set of lengths that cannot form a triangle?
Back
The lengths 1 cm, 2 cm, and 3 cm cannot form a triangle because 1 + 2 is not greater than 3.
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