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Grade: 12

                        

ABCDE is a pentagon prove that ab +bc +cd + de + ea =0

3 years ago

Answers : (2)

Arun
24730 Points
							
(AB+BC)+(CD+DE)+EA 

=AC+(CE+EA) 
=AC+CA 
both are equal in magnitude but opposite in direction 
thus,
 AC+CA=0
3 years ago
NACHIKETA PANDA
15 Points
							
  AB+BC+CD+DE+EA
=(AB+BC)+CD+DE+EA
=AC+CD+DE+EA
=(AC+CD)+DE+EA
=AD+(DE+EA)
=AD+DA     
{ALL SOLUTIONS AND ADDITIONS ARE BASED ON THE TRIANGLE LAW OF VECTOR ADDITION}
 
Now,both AD and DA are equal in magnitude but opposite in direction.
i.e.
AD+DA=0
 
 
17 days ago
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