How to determine if the three sides make up a triangle

The video tutorial explains the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side. It provides an example to illustrate this concept, showing that a triangle with sides 2, 2, and 8 cannot exist. The tutorial then checks if given side lengths (7, 14, and 16) form a valid triangle, confirming they do. The video concludes with a brief mention of shortcuts, without further elaboration.

What does the triangle inequality theorem state about the sides of a triangle?

• The sum of any two sides must be greater than the third side.

• The sum of all three sides must be equal.

• The sum of any two sides must be less than the third side.

• The sum of any two sides must be equal to the third side.

In the example provided, why do the sides 2, 2, and 8 not form a triangle?

• Because 2 + 2 is not greater than 8.

• Because 2 + 8 is not greater than 2.

• Because 8 + 2 is not greater than 2.

• Because all sides are equal.

Given the side lengths 7, 14, and 16, do they form a triangle?

• No, they do not form a triangle.

• Yes, but only if they are rearranged.

• Yes, they form a triangle.

• No, because they are not equal.

Which of the following is NOT a type of triangle classification based on angles?

• Equilateral

• Obtuse

• Acute

• Right

What is the next step after determining if side lengths form a triangle?

• Determine if the triangle is isosceles.

• Find the perimeter of the triangle.

• Classify the triangle as acute, obtuse, or right.

• Calculate the area of the triangle.