Triangle Inequality Theorem (Ordering and Forming Triangles)

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•
Mathematics
•
9th - 12th Grade
•
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 two sides of a triangle are 10 inches and 17 inches, what could be the length of the third side?
Back
The length of the third side must be greater than 7 inches and less than 27 inches.
3.
FLASHCARD QUESTION
Front
Given two sides of lengths 7 ft and 13 ft, what is the range for the third side?
Back
The third side must be more than 6 ft but less than 20 ft.
4.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can form a triangle: 3, 6, 12 or 7, 7, 14 or 9, 9, 9 or 13, 6, 7?
Back
Only the set 9, 9, 9 can form a triangle.
5.
FLASHCARD QUESTION
Front
What is the shortest side in a triangle with sides QP, QM, MP if QM is 5 inches, QP is 8 inches, and MP is 10 inches?
Back
QM is the shortest side.
6.
FLASHCARD QUESTION
Front
Can a triangle be formed with side lengths 15 in., 12 in., and 2 in.?
Back
No, a triangle cannot be formed with these lengths.
7.
FLASHCARD QUESTION
Front
What is the condition for three lengths a, b, and c to form a triangle?
Back
The conditions are: a + b > c, a + c > b, and b + c > a.
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