The calculated value of x that makes the triangles similar is 4.8
How to determine the value of x that makes the triangles similar
From the question, we have the following parameters that can be used in our computation:
The triangles
The triangles are similar to one another
So, we have
x/3.6 = 5.6/4.2
Multiply both sides of the equation by 3.6
This gives
3.6 * x/3.6 = 5.6/4.2 * 3.6
Evaluate
x = 5.6/4.2 * 3.6
Next, we have
x = 4.8
Hence, the value of x is 4.8