Question

Determine if each set of side lengths could be used to create a triangle. Explain your reasoning.

2 cm, 6 cm, 7 cm b. 3 cm, 3 cm, 3 cm c. 5 cm, 7 cm, 12 cm

Answer 1

2, 6, and 7

Yes, the smallest 2 sides sides add up to be larger than the longest side.

3, 3, and 3

Yes, any 2 sides sides add up to be larger than the other side. These sides would form an equilateral triangle.

5, 7, and 12

No, the smallest 2 sides sides do not add up to be larger than the longest side. 5 and 7 add up to be equal to 12 but not larger.

Explanation:

If the 2 smallest sides of a triangle add up to be larger than the longest side, then the sides can create a triangle.