Question

In a triangle ABC, AD is perpendicular to BC. Prove that 2 + 2 = 2 + 2

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Answer 1

Since triangles ABD and ACD are right-angled triangles at D.

  ∴ AD  

2

=AD  

2

+BD  

2

.....(i)

and,   AC  

2

=AD  

2

+CD  

2

.....(ii)

Subtracting (ii) from (i), we get

     AB  

2

−AC  

2

=BD  

2

−CD  

2

 

⇒ AB  

2

+CD  

2

=AC  

2

+BD  

2

      [Hence proved].

2 + 2 = 2 + 2

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