I got 13.7 is that correct

Answer:
The answer to your question is 10.5 in
Step-by-step explanation:
Data
First triangle
height = x
base = 7 in
Second triangle
height = 12 in
base = 8 in
Process
1.- Use proportions to solve this problem, relates the sides of a triangle with the same sides of the other triangle.
[tex]\frac{x}{7} = \frac{12}{8}[/tex]
2.- Multiply both sides by 7
[tex]7\frac{x}{7} = \frac{7(12)}{8}[/tex]
3.- Simplify
x = [tex]\frac{84}{8}[/tex]
4.- Result
x = 10.5 in