The length of the Altitude drawn is; 6 cm
We are told that the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments of lengths 3 centimeters and 12 centimeters.
This means that the altitude splits the right-angled triangle into two smaller right-angled triangles which are similar.
Thus, from ratio of similar triangles, we can say that;
12/x = x/3
cross multiply to get;
x² = 36
x = √36
x = 6 cm
Read more about similar triangles at; https://brainly.com/question/11920446
