Inequalities in Triangles
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
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 the sides of a triangle have lengths 3, 8, and 9?
Back
Yes, because 3 + 8 > 9, 3 + 9 > 8, and 8 + 9 > 3.
Tags
CCSS.7.G.A.2
3.
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
4.
FLASHCARD QUESTION
Front
If the given side lengths of a triangle are 16 and 10, what can be the range for the third side?
Back
The third side must be greater than |16 - 10| = 6 and less than 16 + 10 = 26. So, it can be between 6 and 26.
5.
FLASHCARD QUESTION
Front
Which side lengths would NOT form a triangle? {2,5,9}, {3,4,5}, {5,10,12}, {7,9,11}
Back
{2,5,9} because 2 + 5 is not greater than 9.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
Name the smallest angle in a triangle with sides 5, 6, and 7.
Back
The smallest angle is opposite the shortest side, which is 5.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
Name the largest angle in a triangle with sides 8, 10, and 12.
Back
The largest angle is opposite the longest side, which is 12.
Tags
CCSS.HSG.CO.C.10
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