# Q: 5    Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius    drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma.  If the distance between Reshma and Salma and between Salma and Mandip is each, what is the distance between Reshma and Mandip?

Given : From figure,R,S,M are the position of Reshma ,Salma, Mandip respectively.

So, RS = SM = 6 cm

Construction : Join OR,OS,RS,RM and OM.Draw .

Proof:

In  ORS,

OS = OR    and   (by construction )

So,       RL = LS = 3cm        (RS = 6 cm )

In OLS, by pytagoras theorem,

In    ORK and OMK,

ROK =  MOK    (Equal chords subtend equal angle at centre)

OK = OK         (Common)

ORK  OMK    (By SAS)

RK = MK    (CPCT)

Thus,

area of ORS  =...............................1

area of ORS  =.............................2

From 1 and 2, we get

Thus,

## Related Chapters

### Preparation Products

##### Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
##### Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
##### NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
##### NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-