Answer :

Answer:

x ≈ 5.7

Step-by-step explanation:

The area (A) of the triangle is calculated as

• A = [tex]\frac{1}{2}[/tex] ab sinC

a, b are the two sides and C the angle between them

let a = 12, b = x and C = 40°

given A = 22 , then

[tex]\frac{1}{2}[/tex] × 12 × x × sin40° = 22

6x × sin40° = 22

6 sin40° × x = 22 ( divide both sides by 6sin40° )

x = [tex]\frac{22}{6sin40}[/tex] ≈ 5.7 ( to 1 decimal place )