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.