Respuesta :

Answer:6

Step-by-step explanation:

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

https://brainly.com/question/19739157