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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?
HELP

User Litek
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2 Answers

2 votes

If you are trying to figure out how many combinations there are just do 6x5x4x3x2x1

User Ewan Delanoy
by
4.8k points
4 votes

Answer:

RED,ORANGE,YELLOW

PURPLE,YELLOW,GREEN

BLUE,GREEN,YELLOW

PURPLE,BLUE,GREEN

PURPLE,BLUE,RED

PURPLE,ORANGE,BLUE

RED,YELLOW,BLUE,

ORANGE,YELLOW,GREEN

YELLOW,BLUE,PURPLE

YELLOW,GREEN,PURPLE

there is many combinations

Explanation: