
Thursday- 12/5- RARE DAY- CMA M2 T1-G.5D Tri. Ineq. Practice
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
Can the sides of a triangle have lengths 3, 8, and 9?
Back
Yes, these lengths satisfy the triangle inequality theorem.
2.
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.
3.
FLASHCARD QUESTION
Front
What is the range of values the third side of a triangle with sides 4 and 13 could be?
Back
The third side must be greater than |4 - 13| and less than 4 + 13, so it must be between 9 and 17.
4.
FLASHCARD QUESTION
Front
Which of the following does not represent the lengths of the sides of a triangle: 2 cm, 6 cm, 7 cm, 5 cm, 2 cm, 5 cm, 5 cm, 5 cm, 8 cm, 3 cm, 10 cm, 15 cm?
Back
3 cm, 10 cm, 15 cm do not satisfy the triangle inequality.
5.
FLASHCARD QUESTION
Front
What is a possible third side to a triangle with side lengths of 13 and 4?
Back
12 is a possible length for the third side.
6.
FLASHCARD QUESTION
Front
If one side of a triangle is 10 and the other is 5, what is the range of possible lengths for the third side?
Back
The third side must be greater than |10 - 5| = 5 and less than 10 + 5 = 15, so it must be between 5 and 15.
7.
FLASHCARD QUESTION
Front
What is the minimum length of the third side of a triangle with sides 7 and 3?
Back
The minimum length must be greater than |7 - 3| = 4.
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