Question:
The sizes of the length of the boards are as follows;
Number of boards with length, 2 ft = 2
Number of boards with length, 6 ft = 2
Number of boards with length, 9 ft = 2.
Answer:
The answer to the question is;
The number of unique triangles Artemis can make with the lengths she has is four.
Step-by-step explanation:
The sizes of the six boards are as follows
2 by 9 ft length boards
2 by 6 ft length boards
2 by 2 ft length boards
Therefore since the sum of the lengths of the other two sides of a triangle must be greater than the third side, we have the following possible unique triangles
9 ft by 9 ft by 6 ft ........(1)
9 ft by 9 ft by 2 ft ........(2)
6 ft by 6 ft by 9 ft ........(3)
6 ft by 6 ft by 2 ft ........(4)
Therefore we have four unique triangles.