Question

What is the area of this whole triangle?

Answer 1

`area = 380~cm^2`

Explanation:

`(a)/(\sin A) = (c)/(\sin C)`

`(a)/(\sin 30^\circ) = (28)/(\sin 25^\circ)`

`a = (28 \sin 30^\circ)/(\sin 25^\circ)`

`a = 33.13`

A + B + C = 180

30 + B + 25 = 180

B = 125

`area = (ac \sin B)/(2)`

`area = (33.12 * 28 \sin 125^\circ)/(2)`

`area = 380~cm^2`