Answer:
c = 3.3 cm
Step-by-step explanation:
A = 180 - (95 + 45) = 40° (sum of triangle)
a = 3.0 cm
C = 45°
c = ?
Applying the Law of Sines, we have:
[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]
Cross multiply
[tex] Sin(40)*c = Sin(45)*3 [/tex]
Divide both sides by sin(40)
[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]
c = 3.3001886 ≈ 3.3 cm (nearest tenth)
