Triangle Inequality Theorem

Flashcard
•
Mathematics
•
6th Grade
•
Hard
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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
Given two sides of lengths 13 and 4, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than the difference of the two sides (13 - 4 = 9) and less than the sum of the two sides (13 + 4 = 17). Therefore, the possible lengths for the third side are between 9 and 17.
3.
FLASHCARD QUESTION
Front
Can the side lengths 2 inches, 2 inches, and 4 inches form a triangle?
Back
No, because 2 + 2 is not greater than 4, violating the Triangle Inequality Theorem.
Tags
CCSS.7.G.A.2
4.
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.
5.
FLASHCARD QUESTION
Front
If one side of a triangle is 9 and the other two sides are 28 and 30, can these lengths form a triangle?
Back
No, because 9 + 28 is not greater than 30.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
What is an example of side lengths that can form a triangle?
Back
Side lengths of 5, 7, and 10 can form a triangle because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.
7.
FLASHCARD QUESTION
Front
What is the maximum length of a side in a triangle with sides 10 and 15?
Back
The maximum length of the third side must be less than 10 + 15 = 25.
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