We are given a right angle with known value for the legs, and asked to find the measure of the triangles hypotenuse.
Leg 1 = 12
Leg 2 = 16
Therefore, we use the Pythagorean Theorem to find the hypotenuse, as shown below:
[tex]x=\sqrt[]{12^2+16^2}=\sqrt[]{400}=20[/tex]Therefore our answer agrees with answer option D in the list provided.