Exploring the Triangle Inequality Theorem

The video introduces the concept of the triangle inequality theorem, using a practical example of constructing a triangular roof. It explains the constraints necessary for forming a triangle, referencing Euclid's work. The video demonstrates how to apply these constraints to solve problems and concludes with a promotion of the Golf Math app for further learning.

What is the main topic of the video?

• Building a roof

• Relationships between the sides of a triangle

• Calculating area of a circle

• Solving algebra problems

Tags

CCSS.7.G.B.4

Why did the initial attempts to construct a triangle fail?

• The sticks were too heavy

• The sticks were not straight

• The lengths of the sticks were not suitable

• The base was too long

Tags

CCSS.7.G.A.2

What is the first constraint for constructing a triangle?

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

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

• The difference 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

Who wrote about the triangle inequality theorem in 'Elements'?

• Euclid

• Archimedes

• Pythagoras

• Aristotle

Tags

CCSS.8.G.B.8

What is the second constraint for constructing a triangle?

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

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

• 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

In the example with the puppy, why does the puppy run straight towards the food?

• Because it is the shortest path

• Because it is not hungry

• Because it likes the tree

• Because it wants to exercise

Tags

CCSS.RI.6.1

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.6.1

CCSS.RL.7.1

What should you check when trying to construct a triangle?

• Only the sum of any two sides

• Only the difference of any two sides

• Neither the sum nor the difference of any two sides

• Both the sum and the difference of any two sides

Tags

CCSS.7.G.A.2

Which option correctly follows the triangle inequality theorem: 5 + 5 = 10?

• Option C

• Option B

• Option D

• Option A

What is the correct answer to the practical problem presented in the video?

• Option A

• Option B

• Option D

• Option C

Tags

CCSS.3.MD.A.2

What should you do if you have more questions about the relationship between the sides of a triangle?

• Search online

• Ignore the questions

• Find an expert on the Golf Math app

• Ask your neighbor

Tags

CCSS.HSG.C.A.3