Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 74°, a = 14 cm, c = 20 cm
a. 38.59 cm2
b. 134.58 cm2
c. 140 cm2
d. 269.15 cm2

Respuesta :

it is B 134,58 cm^2 i believe

Answer:

Option B. 134.58 cm²

Step-by-step explanation:

Since one of a triangle with two sides and angle opposite to the third side is represented by area = [tex]\frac{1}{2}[/tex](a.c sinθ)

Since a = 14 cm

          c = 20 cm

  and  θ = 74°

By putting thee values in the formula

Area =  [tex]\frac{1}{2}[/tex] (20) (14) (sin74°)

        = 140(0.9613)

        = 134.58 cm²

Therefore, option B is the answer.