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.

Question

Philoid · Accepted Answer

Given that,

AB = BC = CA

So, ABC is an equilateral triangle

OA = 40 cm (Radius)

Medians of equilateral triangle pass through the circumference (O) of the equilateral triangle ABC

We also know that,

Median intersects each other at 2: 1 as AD is the median of equilateral triangle ABC, we can write:

=

OD = 20 m

Therefore,

AO = OA + OD

= 40 + 20

= 60 m

In

By using Pythagoras theorem

AC² = AO² + DC²

AC² = (60)² + ()²

AC² = 3600 +

AC² = 3600

² = 4800

m

So, length of string of each phone will be m