Respuesta :

Answer:

B

Step-by-step explanation:

Using the Altitude - on - Hypotenuse theorem.

If an altitude is drawn to the hypotenuse of a right triangle, as is the case here, then

BD² = AD × DC, that is

h² = (25 - 16) × 16 = 9 × 16 = 144 ( take the square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12 → B