Final answer:
The set of side measurements that could be used to form a triangle is c (7, 13, 16), as they satisfy the triangle inequality theorem.
Step-by-step explanation:
The question asks us to determine which set of side measurements could be used to form a triangle. A basic principle of triangles, known as the triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given the options:
- a. 2, 6, 10
- b. 3, 18, 22
- c. 7, 13, 16
- d. 8, 7, 19
Checking each set:
- For set a (2, 6, 10), 2 + 6 is not greater than 10.
- For set b (3, 18, 22), 3 + 18 is not greater than 22.
- For set c (7, 13, 16), 7 + 13 is greater than 16, and the other combinations also satisfy the theorem, so this set can form a triangle.
- For set d (8, 7, 19), 8 + 7 is not greater than 19.
Therefore, the correct answer is set c (7, 13, 16).