Which of the following possibilities will form a triangle? (5 points) Side = 16 cm, side = 8 cm, side = 7 cm Side = 16 cm, side = 9 cm, side = 7 cm Side = 17 cm, side = 12 cm, side = 7 cm Side = 17 cm, side = 11 cm, side = 5 cm
To determine if a triangle can be formed with the given lengths, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.
Let's go through each possibility:
1) Side = 16 cm, side = 8 cm, side = 7 cm
16 + 8 = 24 > 7; 16 + 7 = 23 > 8; 8 + 7 = 15 > 16
All combinations are valid, so a triangle can be formed.
2) Side = 16 cm, side = 9 cm, side = 7 cm
16 + 9 = 25 > 7; 16 + 7 = 23 > 9; 9 + 7 = 16 > 16
All combinations are valid, so a triangle can be formed.
3) Side = 17 cm, side = 12 cm, side = 7 cm
17 + 12 = 29 > 7; 17 + 7 = 24 > 12; 12 + 7 = 19 > 17
All combinations are valid, so a triangle can be formed.
4) Side = 17 cm, side = 11 cm, side = 5 cm
17 + 11 = 28 > 5; 17 + 5 = 22 > 11; 11 + 5 = 16 > 17
All combinations are valid, so a triangle can be formed.
Therefore, triangles can be formed in all the given cases.