Triangle Inequality Theorem

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•
Mathematics
•
7th Grade
•
Hard
Standards-aligned
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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 side lengths a, b, and c, what must be true for them to form a triangle?
Back
The following conditions must be satisfied: a + b > c, a + c > b, and b + c > a.
3.
FLASHCARD QUESTION
Front
Can a triangle exist with side lengths 0, 11, and 12?
Back
No, a triangle cannot have a side length of 0.
Tags
CCSS.7.G.A.2
4.
FLASHCARD QUESTION
Front
If the side lengths are 15 in., 12 in., and 2 in., can they form a triangle?
Back
No, because 15 + 12 is not greater than 2.
Tags
CCSS.7.G.A.2
5.
FLASHCARD QUESTION
Front
What is an example of side lengths that cannot form a triangle?
Back
Side lengths 28, 30, and 58 cannot form a triangle because 28 + 30 is not greater than 58.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can form a triangle: 3 cm, 10 cm, 15 cm?
Back
No, because 3 + 10 is not greater than 15.
Tags
CCSS.7.G.A.2
7.
FLASHCARD QUESTION
Front
What is the significance of the Triangle Inequality Theorem in geometry?
Back
It helps determine whether a set of three lengths can form a triangle, which is fundamental in triangle construction and properties.
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