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Assignment: Forming Triangles Investigation

Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.

Red: 3 inches

Orange: 4 inches

Yellow: 5 inches

Green: 7 inches

Blue: 9 inches

Purple: 12 inches

1. How many triangles can she make with them if each side is a different color? List the combinations that work.

2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?