Trigonometry (Continued)


   
 
Hero's Formula
Theorem
 
 
 
Fig (i) Fig (ii)
 
 
Fig (iii)
 
Let D = area of triangle
 
From figure (i), C < 90o (C is acute) and AD ^ BC.
 
 
 
 
 
 
 
 
From figure (ii), C > 90o (C is obtuse) and AD ^ BC produced.
 
 
 
 
 
From figure (iii), C = 90o.
 
 
 
 
Alternate form
 
 
 
 
 
Note:
 
Slight manipulation of half anlge formulae lead to the following results.
 
 
 
 
 
 
 
 
 
 
 
     
   
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