Triangle Inequality Theorem

Flashcard
•
Mathematics
•
9th - 12th Grade
•
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 a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?
Back
Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
3.
FLASHCARD QUESTION
Front
Identify the smallest angle in a triangle with sides 5, 12, and 13.
Back
The smallest angle is opposite the shortest side, which is 5.
4.
FLASHCARD QUESTION
Front
Which of the following lengths cannot represent the sides of a triangle: 5, 10, 15?
Back
15 cannot represent the sides of a triangle because 5 + 10 is not greater than 15.
5.
FLASHCARD QUESTION
Front
What is the longest side in a triangle with sides 7, 24, and 25?
Back
The longest side is 25.
6.
FLASHCARD QUESTION
Front
Do the side lengths 2, 2, and 4 form a triangle?
Back
No, because 2 + 2 is not greater than 4.
7.
FLASHCARD QUESTION
Front
If the longest side of a triangle is 10, what must be true about the other two sides?
Back
The sum of the other two sides must be greater than 10.
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