Triangle Inequality

Flashcard
•
Mathematics
•
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 for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
What are the conditions for three lengths to form a triangle?
Back
Three lengths a, b, and c can form a triangle if the following conditions are met: a + b > c, a + c > b, and b + c > a.
3.
FLASHCARD QUESTION
Front
What type of triangle has two equal sides?
Back
An Isosceles triangle has two equal sides.
Tags
CCSS.4.G.A.2
4.
FLASHCARD QUESTION
Front
What type of triangle has all sides of different lengths?
Back
A Scalene triangle has all sides of different lengths.
Tags
CCSS.4.G.A.2
5.
FLASHCARD QUESTION
Front
What type of triangle has one angle that measures 90 degrees?
Back
A Right triangle has one angle that measures 90 degrees.
Tags
CCSS.4.G.A.2
6.
FLASHCARD QUESTION
Front
If two sides of a triangle measure 8 and 12, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 4 and less than 20, so the range is 4 < x < 20.
7.
FLASHCARD QUESTION
Front
Which of the following lengths cannot represent the sides of a triangle: 28, 30, 58?
Back
The lengths 28, 30, and 58 cannot represent the sides of a triangle because they do not satisfy the Triangle Inequality Theorem.
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