Question

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

Answer 1

it is B 134,58 cm^2 i believe

Answer 2

Option B. 134.58 cm²

Explanation:

Since one of a triangle with two sides and angle opposite to the third side is represented by area =
`(1)/(2)`(a.c sinθ)

Since a = 14 cm

c = 20 cm

and θ = 74°

By putting thee values in the formula

Area =
`(1)/(2)` (20) (14) (sin74°)

= 140(0.9613)

= 134.58 cm²

Therefore, option B is the answer.