Triangle Midsegment and Triangle Inequality Theorem
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a triangle midsegment?
Back
A triangle midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.
2.
FLASHCARD QUESTION
Front
What does the Triangle Inequality Theorem state?
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.
3.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 4 and 12, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 8 and less than 16.
4.
FLASHCARD QUESTION
Front
Order the sides of a triangle with lengths 5, 7, and 10 from least to greatest.
Back
5, 7, 10.
5.
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.
6.
FLASHCARD QUESTION
Front
If one side of a triangle is 10 and another is 6, what is the maximum possible length of the third side?
Back
The maximum possible length of the third side is less than 16.
7.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if two sides of a triangle are 8 and 5?
Back
The minimum length of the third side must be greater than 3.
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