Respuesta :

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