Question

QUESTION:
A circular park 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 place​

Answer 1

Answer:

Given

The positions of Ankur, Syed and David are represented as A, B and C respectively.

As they are sitting at equal distances, the triangle is equilateral

AD ⊥ BC is drawn.

AD is the median of ΔABC and it passes through the centre O.

O is the centroid of the ΔABC. OA is the radius of the triangle.

OA = 2/3 AD

Let the side of a triangle a metres then BD = a/2 m.

On applying Pythagoras theorem in ΔABD,

AB2 = BD2+AD2

⇒ AD2 = AB2 -BD2

⇒ AD2 = a2 -(a/2)2

⇒ AD2 = 3a2/4

⇒ AD = √3a/2

OA = 2/3 AD

20 m = 2/3 × √3a/2

a = 20√3 m

Answer 2

Answer:

20√3

Step-by-step explanation:

this will help you understand