Trigonometry (Continued)


   
 
Area of a triangle
Theorem:
 
In any triangle ABC, prove that the area of a triangle ABC is given by
 
 
Proof:
 
 
Fig (i) Fig (ii)
 
Let ABC be any triangle. Draw AD perpendicular to BC (CB produced if necessary), so that AD = h
 
In figure (i), we have
 
 
In figure (ii), we have
 
 
 
 
 
Similarly, we have
 
 
  
     
   
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