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 )
