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in Mathematics by (29.8k points)

A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are siting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

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Let Ankur, Syed and David be represented by A, S and D respectively. 

Let PD = SP = SQ = QA = AR = RD = x 

In ∆OPD,

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