Topic #9 - Triangle Inequalities

Flashcard
•
Mathematics
•
9th - 10th Grade
•
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
Can a triangle be formed with side lengths 10, 12, and 22?
Back
No, because 10 + 12 is not greater than 22.
Tags
CCSS.7.G.A.2
3.
FLASHCARD QUESTION
Front
List the angles of a triangle in order from smallest to largest if the angles are 30°, 60°, and 90°.
Back
30°, 60°, 90°.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides of a triangle?
Back
In a triangle, the larger the angle, the longer the opposite side.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
Can a triangle be formed with side lengths 17, 9, and 30?
Back
No, because 17 + 9 is not greater than 30.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
If two sides of a triangle are 5 and 7, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 2 and less than 12.
7.
FLASHCARD QUESTION
Front
What is the sum of the interior angles of a triangle?
Back
The sum of the interior angles of a triangle is always 180°.
Tags
CCSS.8.G.A.5
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