Respuesta :

Answer:

The length of the missing side is:  x = 15

Thus, option A) is the correct option.

Step-by-step explanation:

Let 'x' be the missing sides.

From the given triangle, it is clear that the segment cuts the sides into proportional ratios such 9 : 12 and x : 20 respectively.

Therefore,

9 : 12 = x : 20

9/12 = x/20

cross multiplication

12 × x = 20 × 9

12x = 180

divide both sides by 12

12x/12 = 180/12

x = 15

Therefore, the length of the missing side is:  x = 15

Thus, option A) is the correct option.