Question

a)
16
a 11

Explanation:

Step1: Recall Triangle Inequality

For a triangle with sides \( x, y, z \), the triangle inequalities are \( |x - y| < z < x + y \). Here, sides are \( 16 \), \( 11 \), and \( a \).

Step2: Apply Inequalities

First, \( |16 - 11| < a < 16 + 11 \). Calculate \( 16 - 11 = 5 \) and \( 16 + 11 = 27 \). So \( 5 < a < 27 \). (Assuming we find possible \( a \); if finding range, this is it.)

Answer:

The length of \( a \) satisfies \( 5 < a < 27 \) (if finding the range for \( a \) to form a triangle).