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Application Of Ptolemy's Theorem

Sujoy Das
06/02/2018 0 0

Question:

 

                                 

 

Solution:

OA :

Solution : BC = 4√3

Ptolemy's Theorem :

AB × DC + BC × AD = BD × AC

(4√2 × 4 )+ (4√2 × 4√3) = 8 × AC

AC = (16√2 + 16√6)/8

= 2√2 + 2√6

2√2 ( 1 + √3 )

So 4.

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