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: 7 inches
pencil #2: 7 inches
pencil #3: 7 inches
1 answer
Yes, you can make a triangle with these three pencils. According to the Triangle Inequality Theorem, 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, the sum of any two pencils (14 inches) is greater than the length of the third pencil (7 inches), so a triangle can be formed.
1 answer