Triangle Inequality Investigation
Move the sliders to adjust the lengths of the sides. Is it possible to make a triangle by moving C and C' on top of each other'?
What are the lengths of sides that allow you to form a triangle?[br]What lengths do not allow you to make a triangle?[br]What would be a general rule?
Exploring Triangle Inequality Theorem
Use the sliders to explore the circumstances under which a triangle cannot be constructed. Then answer the questions below the applet.
[b]What are the restrictions on the three side lengths that can form a triangle?[/b] For example, if two sides of a triangle are 6 cm and 9 cm long, what is the longest side that could join these two sides to form a triangle? What is the shortest possible length?
Triangle Inequality
Fill in the missing word in the statement below.[br][br]The sum of two lengths of any two sides of a triangle is _______ than the length of the third side.