Triangle Inequality Exploration
Triangle Inequality Exploration
Name three lengths that create a triangle
Name three other lengths that create a triangle
Name three other lengths that create a triangle
Name three lengths that do not create a triangle
Name three other lengths that do not create a triangle
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, if you have three line segments with lengths a, b, and c, you can form a triangle if and only if the sum of any two of these lengths is greater than the length of the third. [br]For example[br]If you have line segments of length 3, 4, and 5, you can form a triangle because:[list][*]3 + 4 > 5[/*][*]3 + 5 > 4[/*][*]4 + 5 > 3 [/*][/list]
Based on the Triangle Inequality Theorem prove that one of your triangles is really a triangle
Based on the Triangle Inequality Theorem prove that one of your triangles is really NOT a triangle
Which of the following lengths creates a triangle? Select all that apply
Which of the following lengths does not create a triangle? Select all that apply