Math, asked by VivekR, 11 months ago

HEY GUYS PLEASE SOLVE IT.....

HINT: Use the properties of an equilateral triangle and also Pythagoras theorem....

Q. A circular path of radius 20m is situated in a Colony. three boys Ankur, Syed and David are sitting 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.....

Answers

Answered by Anonymous
3

Answer:

20√3 (or) 34.64 m

Step-by-step explanation:

Let the three boys are sitting at A,B,C on circular path.

AB = AC = BC = x cm.

ΔABC is equilateral.

∴ AO = (2/3) AP

3AO = 2AP

(3 * 20)/2 = AP

AP = 30 m.


In ΔAPB,

AB² = AP² + BP²

x² = (30)² + (x/2)²

x² = 900 + x²/4

x² - x²/4 = 900

4x² - x² = 3600

3x² = 3600

x² = 1200

x = 20√3


Hence, the length of the string = 20√3 (or) 34.64 m.


Hope it helps you

#Bebrainly

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Answered by Anonymous
2

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