Understanding Triangle Inequalities

The video tutorial explains triangle inequalities, focusing on two methods: using angles to determine side lengths and using side lengths to determine angles. It provides step-by-step guidance on how to list sides and angles from smallest to largest, emphasizing the importance of understanding the relationship between angles and their opposite sides. The tutorial concludes with a summary of the rules for applying triangle inequalities, ensuring a comprehensive understanding of the topic.

What are the two main approaches to understanding triangle inequalities?

• Using height and base

• Using perimeter and area

• Using angles and using sides

• Using radius and diameter

If you know two angles of a triangle, what can you determine?

• The third angle

• The perimeter

• The type of triangle

• The area

In a triangle with angles 40°, 60°, and 80°, which side is the smallest?

• Side opposite 40°

• Side opposite 60°

• Side opposite 80°

• All sides are equal

What is the relationship between the size of an angle and the length of its opposite side in a triangle?

• Angle size does not affect side length

• Larger angle, equal opposite side

• Larger angle, shorter opposite side

• Larger angle, longer opposite side

When given the sides of a triangle, how do you determine the smallest angle?

• Look at the side opposite the smallest angle

• Look at the side opposite the medium angle

• All angles are equal

• Look at the side opposite the largest angle

If side lengths are 3, 4, and 5, which angle is the largest?

• Angle opposite side 3

• All angles are equal

• Angle opposite side 4

• Angle opposite side 5

What is the first step in applying the rules of triangle inequalities?

• Determine the type of triangle

• Find the area

• Calculate the perimeter

• Identify the smallest angle or side

How should you label the sides or angles when applying triangle inequalities?

• From largest to smallest

• In any order

• From smallest to largest

• Alphabetically

What symbol is used to represent the relationship between sides or angles in triangle inequalities?

• Equal to (=)

• Greater than (>)

• Not equal to (≠)

• Less than (<)

What is the correct order of sides in a triangle with angles 40°, 60°, and 80°?

• Side opposite 80° < Side opposite 60° < Side opposite 40°

• Side opposite 40° < Side opposite 60° < Side opposite 80°

• Side opposite 60° < Side opposite 40° < Side opposite 80°

• All sides are equal