Finding sides of a triangle with all angles and area?

Question

Area 5348 ft2

A 41*40’

B 51*

C 87* 20’

 

Just not sure where to start with the AAA triangle and area

Answer 1

ab sin C = 10,696

bc sin A = 10,696

ac sin B = 10,696

 

System of three unknowns. 

Go for it!

Answer 2

There are three formulas for area that you could use.

Area = ½ ab sin C

Area= ½ ac sin B

Area= ½ bc sin A.

 

Now if you substitute numbers in for Area and the various sine values, you have a system of three equations with three unknowns.  This can be solved, I should think.  Use at least 5 significant figures for the sines.