Respuesta :

Answer:

C. 20 units

Step-by-step explanation:

x > 16 because the hypotenuse is always the longest side

9 + 16 = 25

25 > x

that leaves you with 20 units and 24 units but 24 units is too long, so C. 20 units is the answer

abidemiokin

Tthe value of x is 20 u

To get the value of x from the diagram, we will use the triangle altitude theorem as shown below;

From the diagram;

9/RT = RT/16

RT^2 = 9*16

RT^2= 144

RT = 12

Get the value of x using the pythagoras theorm;

x^2 = 16^2 + 12^2

x^2 = 256 + 144

x^2 = 400

x = 20

Hence the value of x is 20 units

Learn more on pythagoras theorem here: https://brainly.com/question/343682