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CBSE Class 10 Answered

circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David re sitting at equal distance on its boundary each having a toy telephone in their hand to talk each other. Find the length of the string of each phone  
Asked by gujarsurjeet007 | 21 Feb, 2018, 10:29: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style Given comma space AB equals BC equals AC
Let space AB equals BC equals AC equals straight a
Let space height space of space triangle space ABC equals AD equals straight h
Radius space of space circular space park space left parenthesis circumcircle right parenthesis equals straight R equals 20 space straight m
Now comma space OA equals 2 over 3 AD
rightwards double arrow straight R equals 2 over 3 straight h
straight h equals fraction numerator square root of 3 over denominator 2 end fraction straight a
rightwards double arrow straight R equals 2 over 3 cross times fraction numerator square root of 3 over denominator 2 end fraction straight a equals fraction numerator 1 over denominator square root of 3 end fraction straight a
rightwards double arrow straight a equals square root of 3 straight R equals 20 square root of 3 space straight m end style
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