1. Triangles

2. Leg + Leg > Hypotenuse
A B C D E F
Boards A and E = 20 feet Board B = 4 feet Board C = 18 Feet Board D and F = 10 feet
Leg + Leg > Hypotenuse
Answer Yes or No. Can the following boards make a triangle?
A, B, C
C, D, E
D, A, F
B, A, D
A, D, B
B, D, F

3. A B C D E F
Boards A and E = 20 feet Board B = 4 feet Board C = 18 Feet Board D and F = 10 feet
Answer Yes or No. Can the following boards make a triangle?
A, B, C Yes
C, D, E Yes
D, A, F No
B, A, D No
A, D, B No
B, D, F Yes

4. If boards A and B were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer.
If boards A and B were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer.

5. If boards A and B were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. 17 feet
If boards A and B were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer. 23 feet

6. If boards C and D were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer.
If boards C and D were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer.

7. If boards C and D were being used with another board (not in the picture), what could the shortest length of that board be? Use a whole number to answer. 9 feet
If boards C and D were being used with another board (not in the picture), what could the longest length of that board be? Use a whole number to answer. 27 feet

8. A B C D E F
A = 12in B = 9in C = 14in D = 5 in E = 15 in F = 4 in
Which line segments could you use to form three different triangles?
EX: A, B, C would make a triangle
Which line segments could you use that would not make a triangle?

9. A triangle has a side length of 12 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches?
x = 34
x + 27 = 34
x = 7
A triangle has a side length of 14 inches and another side length of 28 inches. Is it possible that the sum of the side lengths of the triangle could be 45 inches?
x = 45
x + 42 = 45
x = 3
Leg + Leg > Hypotenuse
> 15
True! Yes, it makes a triangle!
Leg + Leg > Hypotenuse
> 45
FALSE! NO, it does not make a triangle!

10. A triangle has a side length of 5 inches and another side length of 7 inches. Is it possible that the sum of the side lengths of the triangle could be 22 inches?
A triangle has a side length of 12 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 24 inches?
A triangle has a side length of 10 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 37 inches?
A triangle has a side length of 18 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches?

11. No! It does not make a triangle.
A triangle has a side length of 5 inches and another side length of 7 inches. Is it possible that the sum of the side lengths of the triangle could be 22 inches?
Yes! It makes a triangle
A triangle has a side length of 12 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 24 inches?
No! It does not make a triangle.
A triangle has a side length of 10 inches and another side length of 15 inches. Is it possible that the sum of the side lengths of the triangle could be 37 inches?
A triangle has a side length of 18 inches and another side length of 6 inches. Is it possible that the sum of the side lengths of the triangle could be 34 inches?