Question

Three boys Rajan, Sonu and Akbar are sitting on a circle of radius 5m drawn in a park, Rajan
throws a ball to Sonu, Sonu to Akbar and Akbar to Rajan. If the distance between Rajan and
Sonu and between Sonu and Akbar is 6m each, what is the distance between Rajan and Akbar.

Answer 1

Step-by-step explanation:

Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.

Answer 2

Step-by-step explanation:

Let Ankur be represented as A, Syed as S and David as D.

The boys are sitting at an equal distance.

Hence, △ASD is an equilateral triangle.

Let the radius of the circular park be r meters.

∴OS=r=20m.

Let the length of each side of △ASD be x meters.

Draw AB⊥SD

∴SB=BD=21SD=2x m

In △ABS,∠B=90o

By Pythagoras theorem,

AS2=AB2+BS2

∴AB2=AS2−BS2=x2−(2x)2=43x2        

∴AB=23x m

Now, AB=AO+OB

OB=AB−AO

OB=(23x−20) m

In △OBS,

OS2=OB