Triangle Inequality Theorems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does the Triangle Inequality Theorem state about the lengths of the sides of a triangle?
Back
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
Given the side lengths 47, 28, and 70, does a triangle exist?
Back
Yes, a triangle with these side lengths exists.
Tags
CCSS.7.G.A.2
3.
FLASHCARD QUESTION
Front
Given the side lengths 20, 10, and 9, does a triangle exist?
Back
No, a triangle with these side lengths does not exist.
Tags
CCSS.7.G.A.2
4.
FLASHCARD QUESTION
Front
Where is the largest angle of a triangle located?
Back
The largest angle is located across from the longest side.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
If two sides of a triangle are 8 feet and 11 feet, what is the smallest possible length of the third side?
Back
The smallest possible length of the third side must be greater than the difference of the two sides, which is 3 feet.
6.
FLASHCARD QUESTION
Front
What is the maximum possible length of the third side if two sides of a triangle are 8 feet and 11 feet?
Back
The maximum possible length of the third side must be less than the sum of the two sides, which is 19 feet.
7.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem used for?
Back
It is used to determine whether three given lengths can form a triangle.
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