triangle inequality theorem

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•
Mathematics
•
9th - 10th Grade
•
Hard
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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 a triangle has sides of lengths 5, 7, and 12, does it satisfy the Triangle Inequality Theorem?
Back
No, because 5 + 7 = 12, which is not greater than 12.
3.
FLASHCARD QUESTION
Front
What are the conditions for three lengths to form a triangle?
Back
The lengths a, b, and c must satisfy: a + b > c, a + c > b, and b + c > a.
4.
FLASHCARD QUESTION
Front
Can the lengths 3, 4, and 8 form a triangle?
Back
No, because 3 + 4 = 7, which is not greater than 8.
5.
FLASHCARD QUESTION
Front
What is the shortest side in a triangle with sides 6, 8, and 10?
Back
6 is the shortest side.
6.
FLASHCARD QUESTION
Front
List the side lengths in order from shortest to longest: 5, 12, 9.
Back
5, 9, 12.
7.
FLASHCARD QUESTION
Front
Do the side lengths 2, 2, and 4 form a triangle?
Back
No, because 2 + 2 = 4, which is not greater than 4.
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