Exploring the Triangle Inequality Theorem
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the given lengths of sides AB and BC in triangle ABC?
AB = 10, BC = 15
AB = 12, BC = 17
AB = 14, BC = 19
AB = 11, BC = 16
Tags
CCSS.2.G.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is used to determine the possible measures of side AC?
Cosine Rule
Sine Rule
Triangle Inequality Theorem
Pythagorean Theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be:
Unrelated to the length of the third side
Greater than the length of the third side
Less than the length of the third side
Equal to the length of the third side
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If AC is the longest side, what inequality must be true?
AB + BC > AC
AB + AC > BC
AB + BC < AC
BC + AC > AB
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum possible length of AC if it is the longest side?
12
5
17
29
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If BC is the longest side, what inequality must be true?
AB + AC < BC
AB + AC > BC
AB + BC > AC
BC + AC > AB
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the minimum possible length of AC if BC is the longest side?
5
17
29
12
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