What is the Triangle Inequality Theorem?
Geometry SOL Review G.5 Triangles Sides and Angles

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Mathematics
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8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
2.
FLASHCARD QUESTION
Front
If two sides of a triangle are 10 and 5, what are the possible lengths for the third side?
Back
5 < x < 15.
3.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides of a triangle?
Back
In a triangle, the larger the angle, the longer the opposite side.
4.
FLASHCARD QUESTION
Front
Given triangle UWV, if WV = 13, VU = 9, and UW = 15, which angle is the largest?
Back
Angle U is the largest angle.
5.
FLASHCARD QUESTION
Front
If one side of a triangle is 35, what are the possible lengths for the other two sides?
Back
The other two sides must be less than 70 and greater than 0.
6.
FLASHCARD QUESTION
Front
What is the range of possible lengths for the third side of a triangle with sides 12 and 7?
Back
5 < x < 19.
7.
FLASHCARD QUESTION
Front
How do you determine the smallest angle in a triangle?
Back
The smallest angle is opposite the shortest side.
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