Lesson 5.4 Station 3
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Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
What are the conditions for three lengths to form a triangle?
Back
For three lengths a, b, and c to form a triangle, they must satisfy the conditions: a + b > c, a + c > b, and b + c > a.
3.
FLASHCARD QUESTION
Front
If two sides of a triangle are 2 and 6, what is the range for the length of the third side?
Back
The length of the third side must be greater than 4 and less than 8 (4 < x < 8).
4.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can represent a triangle: {2, 5, 9}, {6, 6, 7}, {6, 4, 2}, {7, 8, 1}?
Back
Only the set {6, 6, 7} can represent the lengths of a triangle.
5.
FLASHCARD QUESTION
Front
What is the maximum length of the third side if the other two sides are 4 and 12?
Back
The maximum length of the third side is less than 16.
6.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if the other two sides are 4 and 12?
Back
The minimum length of the third side is greater than 8.
7.
FLASHCARD QUESTION
Front
Which lengths cannot form a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?
Back
The lengths 28, 30, and 58 cannot form a triangle.
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