Triangle Inequality Theorem
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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 two sides of a triangle are 5 and 7, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 2 and less than 12, so the range is 2 < x < 12.
3.
FLASHCARD QUESTION
Front
Can the lengths 3, 5, and 8 form a triangle?
Back
No, because 3 + 5 is not greater than 8.
Tags
CCSS.7.G.A.2
4.
FLASHCARD QUESTION
Front
What lengths cannot represent the sides of a triangle?
Back
If the lengths do not satisfy the Triangle Inequality Theorem, they cannot form a triangle.
5.
FLASHCARD QUESTION
Front
Given sides of lengths 12 and 7, what is the range for the third side?
Back
The range is 5 < x < 19.
6.
FLASHCARD QUESTION
Front
If one side of a triangle is 10 and another is 15, what is the maximum length of the third side?
Back
The maximum length of the third side is 24, because 10 + 15 > x.
7.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if the other two sides are 8 and 6?
Back
The minimum length of the third side is 3, because 8 - 6 < x.
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