Find the area of a triangle when A=40, b=14, c=9

a. 18.5

b. 40.5

c. 27.9

d. 26.3

Option b. 40.5 units²

Step-by-step explanation:

we know that

Applying the law of sines

The area of a triangle is equal to

A = (1/2) (b) (c) sin (A)

The angle A is the included angle between side b and side c

substitute the values

A = (1/2) (14) (9) sin (40°) = 40.5 units²