Question

OK so I need help on this trigonometry problem, I need it by June 3rd HELP ME PLZ!

I asked my teacher and he said it's not a right triangle at all,
You must create a triangular Animal pen that covers 40 square yards however it has to contain a 30-degree angle. Give the lengths of two sides of a triangle that include the angle but has an area of 40 sq yards.

Answer 1

a=16 b =10 or any other combination that gives 160

a = 20 b=8

a = 32 b = 5

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