Triangle Inequality Theorem Concepts

The video tutorial explains how to determine if three side lengths can form a triangle. It introduces the triangle inequality theorem, which states that the sum of the two smaller sides must be greater than the third side. The tutorial provides multiple examples to illustrate this concept, showing both valid and invalid triangle formations. It concludes with a visual explanation of why certain side lengths do not meet to form a triangle.

What is the main question addressed in the video regarding side lengths?

• How to calculate the area of a triangle.

• How to classify triangles based on angles.

• How to determine if three side lengths can form a triangle.

• How to find the perimeter of a triangle.

According to the triangle inequality theorem, what must the sum of the two smaller sides be in relation to the third side?

• Twice the third side.

• Less than the third side.

• Equal to the third side.

• Greater than the third side.

In the example with side lengths 4, 9, and 20, why do these not form a triangle?

• Because 4 + 9 is equal to 20.

• Because 4 + 9 is less than 20.

• Because 4 + 9 is greater than 20.

• Because 4 + 9 is twice 20.

In the example with side lengths 4, 9, and 20, what is the sum of the two smaller sides?

• 13

• 12

• 14

• 15

For the side lengths 5, 7, and 10, what is the sum of the two smaller sides?

• 12

• 13

• 10

• 11

Why do the side lengths 5, 7, and 10 form a triangle?

• Because 5 + 7 is equal to 10.

• Because 5 + 7 is less than 10.

• Because 5 + 7 is greater than 10.

• Because 5 + 7 is twice 10.

What is the result of 5 + 7 in the example with side lengths 5, 7, and 10?

• 13

• 10

• 12

• 11

In the example with side lengths 1, 2, and 5, what is the sum of the two smaller sides?

• 2

• 3

• 5

• 4

Why do the side lengths 1, 2, and 5 not form a triangle?

• Because 1 + 2 is twice 5.

• Because 1 + 2 is greater than 5.

• Because 1 + 2 is less than 5.

• Because 1 + 2 is equal to 5.

In the example with side lengths 1, 2, and 5, what is the result of 1 + 2?

• 5

• 4

• 2

• 3