Find three objects (sticks, utensils, yarn, toys, books, etc.) that could represent
the sides of a triangle. Can you make a triangle with these three objects? Use the
Triangle Inequality Theorem explain why or why not.
Measurements of each object:
pencil #1: 6 inches
pencil #2: 5 inches
pencil #3: 6 inches
The three objects that could represent the sides of a triangle are pencil #1 (6 inches), pencil #2 (5 inches), and pencil #3 (6 inches).
To determine if a triangle can be formed using these three objects, we need to apply the Triangle Inequality Theorem, which 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 this case, let's check if the sum of any two sides is greater than the length of the third side:
Pencil #1 (6 inches) + Pencil #2 (5 inches) = 11 inches
11 inches is greater than Pencil #3 (6 inches), so a triangle can be formed using these three objects.
Therefore, a triangle can be formed with these three objects.