The calculated value of the variable a is 6.55
How to determine the value of the variable a
From the question, we have the following parameters that can be used in our computation:
The triangle
Using the angle bisector theorem, we have the following
12/a = 22/12
This gives
22a = 12 * 12
22a = 144
So, we have
a = 144/22
Evaluate
a = 6.55
Hence, the value of the variable a is 6.55