What is the Triangle Inequality Theorem?
Fun facts:
The Triangle Inequality Theorem is a consequence of the Law of Cosines! The ancient Greeks knew about the Triangle Inequality Theorem over 2000 years ago! It is used in architecture and engineering when designing buildings and bridges!
Work together in pairs: What is an example of the Triangle Inequality Theorem in real life?
Work together in pairs: How can the Triangle Inequality Theorem be used to find the lengths of the sides of a triangle?
Brain break: Draw a hamburger playing a violin
What is the Triangle Inequality Theorem?
- The sum of two sides of a triangle must be greater than the third side
- The longest side of a triangle must be the sum of the other two sides
- The sum of two sides of a triangle must be less than the third side
- The longest side of a triangle must be the difference of the other two sides
What is the relationship between the longest side and the other two sides in a triangle?
- The longest side must be greater than the other two sides
- The longest side must be equal to the other two sides
- The longest side must be less than the other two sides
- The longest side must be the sum of the other two sides
What is the Triangle Inequality Theorem also known as?
- The Triangle Sum Theorem
- The Triangle Equality Theorem
- The Triangle Inequality Principle
- The Triangle Difference Theorem
What does the Triangle Inequality Theorem state?
- The sum of two sides of a triangle must be greater than the third side
- The longest side of a triangle must be the sum of the other two sides
- The sum of two sides of a triangle must be less than the third side
- The longest side of a triangle must be the difference of the other two sides
What is the Triangle Inequality Theorem used for?
- To calculate the perimeter of a triangle
- To calculate the area of a triangle
- To determine if a triangle is isosceles or scalene
- To determine if a triangle is right-angled or obtuse