Triangle Inequality Theorem
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
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.
2.
FLASHCARD QUESTION
Front
If one angle of a triangle measures 30 degrees, what is the sum of the other two angles?
Back
The sum of the other two angles is 150 degrees, since the total sum of angles in a triangle is always 180 degrees.
Tags
CCSS.8.G.A.5
3.
FLASHCARD QUESTION
Front
What is the maximum possible angle in a triangle?
Back
The maximum possible angle in a triangle is less than 180 degrees.
Tags
CCSS.8.G.A.5
4.
FLASHCARD QUESTION
Front
Can a triangle have two obtuse angles?
Back
No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180 degrees.
Tags
CCSS.8.G.A.5
5.
FLASHCARD QUESTION
Front
If two angles of a triangle measure 40 and 50 degrees, what is the third angle?
Back
The third angle measures 90 degrees.
Tags
CCSS.8.G.A.5
6.
FLASHCARD QUESTION
Front
What are the conditions for three lengths to form a triangle?
Back
The lengths must satisfy the Triangle Inequality Theorem: a + b > c, a + c > b, and b + c > a.
7.
FLASHCARD QUESTION
Front
Given side lengths 3, 6, and 12, do they form a triangle?
Back
No, they do not form a triangle because 3 + 6 is not greater than 12.
Tags
CCSS.7.G.A.2
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