
Triangle Inequality Theorem (Ordering and Forming Triangles)
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
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 side lengths are a, b, and c, what must be true for them to form a triangle?
Back
The following inequalities must hold: a + b > c, a + c > b, and b + c > a.
3.
FLASHCARD QUESTION
Front
Given sides of lengths 10 inches and 17 inches, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 7 inches and less than 27 inches.
4.
FLASHCARD QUESTION
Front
Can the sides 3, 6, and 12 form a triangle?
Back
No, because 3 + 6 is not greater than 12.
5.
FLASHCARD QUESTION
Front
What is the shortest side in a triangle with sides 5, 12, and 13?
Back
The shortest side is 5.
6.
FLASHCARD QUESTION
Front
If two sides of a triangle are equal, what type of triangle is it?
Back
It is an isosceles triangle.
7.
FLASHCARD QUESTION
Front
What is the maximum length of a side in a triangle with sides 8 and 15?
Back
The maximum length of the third side can be 22 (8 + 15 - 1).
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