If D1 and D2 are the 2 diameters of 2 concentric circles (D2>D1) and C be the length of the chord of the larger circle which is a tangent to the smaller circle. Prove that D2 2=C+ D1 2

Hi Anant!
Here is the answer to your question.
 
Consider O be the centre be two concentric circle. Let PQ be the tangent to the inner circle that touches the circle at R.

 
 
Hope! This will help you.
Cheers!

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There should be +
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See the figure,

By  Pythagoras theorem:
(D2)2 = (C)2(D1)2 
(2)2       (2)2      (2)2 

(D2)2 = (C)2 + (D1)2 
 4            4           4

D22   =   C2  +  D12  
 4            4         4
 
D22   =   C2  +  D12  
 4                4

D22   =   C2  +  D12  

$$  Hence proved  #$$

 
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