Question

A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and Anand are sitting at equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.

Answer 1

Given that AB = BC = CA

 So, ABC is an equilateral triangle 

OA (radius) = 40 m 

Medians of equilaterals triangles pass through the circum center (0) of the equilaterals triangles ABC 

We also know that median intersect each other at the 2:1 

As AD is the median of equilaterals triangle ABC, we can write:

So, length of string of each phone will be 40√3 m.