Question

How do you find the area of a triangle given A=18*, B=35*, c=3.4?

Answer 1

`color(purple)(A_t = 3.31` sq units

Explanation:

`hat A = 18^@, hat B = 35^@, c = 3.4`

`hat C = (180-18-35) = 127^@`

As per Law of Sines,

`a / sin A = b / sin B = c / sin C`

`b = (c * sin B) / sin C`

`b = (3.4 * sin 35) / sin 127 = 2.44`

Area of triangle -`A_t = (1/2) b c sin A`

`A_t = (1/2) * 2.44 * 3.4 * sin (127)`

`color(purple)(A_t = 3.31` sq units