triangle inequality theorem
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
FREE Resource
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16 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 two sides of a triangle measure 8 and 15, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 7 and less than 23.
3.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can form a triangle: (2 cm, 6 cm, 7 cm) or (5 cm, 2 cm, 5 cm) or (8 cm, 3 cm, 10 cm, 15 cm)?
Back
(2 cm, 6 cm, 7 cm) and (5 cm, 2 cm, 5 cm) can form triangles. (8 cm, 3 cm, 10 cm, 15 cm) cannot.
Tags
CCSS.7.G.A.2
4.
FLASHCARD QUESTION
Front
If the longest side of a triangle is 10, what must be true about the sum of the other two sides?
Back
The sum of the other two sides must be greater than 10.
5.
FLASHCARD QUESTION
Front
Identify the smallest angle in a triangle given the sides: 5 cm, 5 cm, 8 cm.
Back
The smallest angle is opposite the shortest side, which is 5 cm.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
Identify the longest side in a triangle with sides 7 cm, 10 cm, and 12 cm.
Back
The longest side is 12 cm.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides of a triangle?
Back
In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.
Tags
CCSS.HSG.CO.C.10
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