Answer:
6.2 cm
Step-by-step explanation:
Apply the Law of cosines, given as:
c² = a² + b² - 2ab×Cos(C)
Where,
a = 4 cm
b = 8 cm
c = AB = ??
C = 50°
Plug in the value into the equation
c² = 4² + 8² - 2*4*8*Cos(50)
c² = 16 + 64 - 64*Cos(50)
c² = 80 - 64*Cos(50)
c² = 38.861593
c = √38.861593
c = 6.2 cm (nearest tenth)
