Triangle Inequality Theorem Concepts

The video tutorial explains the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. It provides examples to demonstrate how to determine if three sides can form a triangle. The tutorial concludes with additional tips on applying the theorem effectively.

What is the basic rule of the triangle inequality theorem?

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

• The sum of the lengths of all three sides must be equal.

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

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

Tags

CCSS.7.G.A.2

In the example with sides 3, 9, and 11, why can these form a triangle?

• Because 3 + 9 is greater than 11.

• Because 3 + 9 is equal to 11.

• Because 3 + 9 is less than 11.

• Because 3 + 9 is equal to 9.

Tags

CCSS.7.G.A.2

Which of the following sets of sides cannot form a triangle?

• 5, 7, 10

• 8, 15, 20

• 3, 4, 8

• 6, 8, 13

Why is it often sufficient to only add the two smaller numbers when testing the triangle inequality?

• Because it guarantees the largest side is considered.

• Because it simplifies the calculation.

• Because it will always determine if the sides can form a triangle.

• Because it ensures the smallest side is considered.

What should you do if the sum of the two smaller sides is equal to the third side?

• It forms an isosceles triangle.

• It forms a right triangle.

• It cannot form a triangle.

• It can form a triangle.