Answer:
The answer to your question is 10.5 in
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.

2.- Multiply both sides by 7

3.- Simplify
x =

4.- Result
x = 10.5 in