Answer:
a=16 b =10 or any other combination that gives 160
a = 20 b=8
a = 32 b = 5
Step-by-step explanation:
The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C where a and b are sides and C is the angle.
A =40 = 1/2 ab sin 30°
sin 30° = 1/2 so
40 = 1/2*ab*1/2
40 =1/4 ab multiply each side by 4
160 = ab
any combination of sides that gives you 160 will work
Let's check if a=16 b =10
A = 1/2*16*10 sin 30°
A = 1/2*160*1/2
A = 40
