In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We
also know AD = 12 and DB = 3.

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