Triangle Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
Can the sides of a triangle have lengths 3, 4, and 9?
Back
No, because the sum of the lengths of the two shorter sides (3 + 4 = 7) must be greater than the length of the longest side (9).
Tags
CCSS.7.G.A.2
2.
FLASHCARD QUESTION
Front
Does a triangle with these side lengths exist: 15, 12, 9?
Back
Yes, because the sum of the lengths of any two sides (15 + 12 > 9, 15 + 9 > 12, 12 + 9 > 15) is greater than the length of the third side.
3.
FLASHCARD QUESTION
Front
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6? (Options: 6, 7, 5, 4)
Back
4, because the third side must be greater than the difference of the two sides (6 - 2 = 4) and less than their sum (2 + 6 = 8).
4.
FLASHCARD QUESTION
Front
The smallest angle would be located where in a triangle?
Back
Across from the smallest side.
5.
FLASHCARD QUESTION
Front
What is the range of values the third side of a triangle with sides 2 and 6 could be?
Back
The third side must be greater than 4 and less than 8 (4 < x < 8).
6.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
7.
FLASHCARD QUESTION
Front
If one side of a triangle is 10 and another is 15, what is the range of possible lengths for the third side?
Back
The third side must be greater than 5 and less than 25 (5 < x < 25).
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