Triangle Inequalities
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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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 8 and 15, what is the range of possible lengths for the third side?
Back
7 < x < 23
3.
FLASHCARD QUESTION
Front
Can a triangle be formed with side lengths 5, 5, and 10?
Back
No, because 5 + 5 is not greater than 10.
4.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if two sides are 7 and 10?
Back
The minimum length is 4 (10 - 7).
5.
FLASHCARD QUESTION
Front
What is the maximum length of the third side if two sides are 7 and 10?
Back
The maximum length is 16 (7 + 10).
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6, 8, and 10, can it be formed?
Back
Yes, because 6 + 8 > 10, 6 + 10 > 8, and 8 + 10 > 6.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides of a triangle?
Back
The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.
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