Triangle Inequality Theorem 11.19.24

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•
Mathematics
•
6th 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 one side of a triangle is the longest, what must be true about the other two sides?
Back
The sum of the lengths of the two shorter sides must be greater than the length of the longest side.
3.
FLASHCARD QUESTION
Front
Can the side lengths 3, 5, and 8 form a triangle? Why or why not?
Back
No, because 3 + 5 is not greater than 8.
4.
FLASHCARD QUESTION
Front
Given side lengths of 7 yd, 8 yd, and 9 yd, can these form a triangle?
Back
Yes, because 7 + 8 > 9, 7 + 9 > 8, and 8 + 9 > 7.
5.
FLASHCARD QUESTION
Front
In triangle ABC, if AB = 10 inches and BC = 17 inches, what is a possible length for AC?
Back
AC must be greater than 7 inches and less than 27 inches. A possible length is 16 inches.
6.
FLASHCARD QUESTION
Front
What is the minimum length of a side in a triangle if the other two sides are 5 and 7?
Back
The minimum length must be greater than 2 (5 - 7) and less than 12 (5 + 7).
7.
FLASHCARD QUESTION
Front
What is the maximum length of a side in a triangle if the other two sides are 4 and 6?
Back
The maximum length must be less than 10 (4 + 6).
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