5.4 Inequalities in One Triangle
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Wayground Content
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15 questions
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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
How do you determine the longest side of a triangle?
Back
The longest side of a triangle is opposite the largest angle. To find it, first identify the angles and order them from largest to smallest.
3.
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 side opposite that angle.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
If two angles of a triangle are known, how can you find the third angle?
Back
The third angle can be found by subtracting the sum of the known angles from 180 degrees.
Tags
CCSS.8.G.A.5
5.
FLASHCARD QUESTION
Front
What does it mean for a triangle to be constructed with given side lengths?
Back
A triangle can be constructed with given side lengths if they satisfy the Triangle Inequality Theorem.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
How do you order the sides of a triangle based on the angles?
Back
Order the sides from longest to shortest based on the corresponding angles from largest to smallest.
7.
FLASHCARD QUESTION
Front
What is the significance of the longest side in a triangle?
Back
The longest side is crucial for determining the triangle's properties and can help in solving for angles and other sides.
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