Triangle Connection
Triangle Inequality Theorem explains that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Therefore, the inequalities must hold true for all.
If all inequalities are true then the figure is a triangle. If any of the inequalities are false then the figure is NOT a triangle.
Students may utilize the "Triangle Inequality Applets" to discover and prove the Triangle Inequality Theorem. Furthermore, students may work collaboratively in groups to determine if a triangle can be proven or disproved given three side lengths.
Students utilize the theorem, compute by hand, and measure lengths with rulers to complete the concepts.