Triangle Inequality Theorem Concepts

The video tutorial explains how to determine if given sides can form a triangle. It introduces the concept of using the entire side lengths and discusses the triangle inequality theorem. Through examples, it shows that sides 5, 6, and 12 cm cannot form a triangle, while sides 7, 8, and 12 cm can. The key takeaway is that the sum of the two shorter sides must be greater than the longest side to form a triangle.

What is the main goal of the video?

• To teach how to draw triangles

• To understand the history of triangles

• To determine if given sides can form a triangle

• To calculate the area of triangles

Why can't any three sides form a triangle?

• Because they might not connect to form a closed shape

• Because they need to be parallel

• Because they need to be perpendicular

• Because they need to be of equal length

What is important when using side lengths to form a triangle?

• Using the entire side length

• Using the longest side

• Using the shortest side

• Using only two sides

Why can't sides of 5, 6, and 12 cm form a triangle?

• Because 5 + 6 is greater than 12

• Because 5 + 6 is equal to 12

• Because 5 + 6 is less than 12

• Because 5 + 6 is not a valid operation

What must the sum of two sides be in relation to the third side?

• Equal to the third side

• Unrelated to the third side

• Less than the third side

• Greater than the third side

Why can't sides of 5, 7, and 12 cm form a triangle?

• Because 5 + 7 is less than 12

• Because 5 + 7 is equal to 12

• Because 5 + 7 is greater than 12

• Because 5 + 7 is not a valid operation

Why can sides of 7, 8, and 12 cm form a triangle?

• Because 7 + 8 is less than 12

• Because 7 + 8 is equal to 12

• Because 7 + 8 is not a valid operation

• Because 7 + 8 is greater than 12