What is the Triangle Inequality Theorem?
Triangle Inequality Theorem

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•
Mathematics
•
7th 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
Can the side lengths 3, 5, and 8 form a triangle?
Back
No, because 3 + 5 is not greater than 8.
3.
FLASHCARD QUESTION
Front
What is the total measure of angles in a triangle?
Back
180 degrees.
4.
FLASHCARD QUESTION
Front
If two angles of a triangle are 50° and 80°, what is the measure of the third angle?
Back
50°, because 180° - (50° + 80°) = 50°.
5.
FLASHCARD QUESTION
Front
How many unique triangles can be formed with angles 80°, 50°, and 50°?
Back
More than one unique triangle exists with the given angle measures.
6.
FLASHCARD QUESTION
Front
Which of the following sets of side lengths can form a triangle: 3, 6, 12 or 7, 7, 14?
Back
Neither can form a triangle because 3 + 6 is not greater than 12 and 7 + 7 is not greater than 14.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a triangle and its angles?
Back
The larger the angle, the longer the opposite side.
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