Question

Q. Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m 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 6m each, what is the distance between Reshma and Mandip ?


NCERT Mathematics
Class 9th
Ch 10 (Circles)
Exercise 10.4
Question no. 5​

Answer 1

Answer:

9.6m is the answer.

EXPLANATION :

Draw perpendicular OA and OB on RS and SM respectively.

Let R,S and M be the position of Reshma, Salma and Mandip respectively.

AR= AS=

2

6

= 3 cm

OR= OS= OM= 5 m [radii of circle]

In △OAR

OA

2

+ AR

2

= OR

2

OA

2

+

3 2

5 2

OA=

25−9

OA= 4 m

We know that in an isosceles triangle altitude divides the base ,

So, in △RSM

∠RCS= 90

o

RC=CM

Area of

△ORS=

2

1

×

OA×

RS

2

1

× RC× OS=

2

1

× 4× 6

RC× 5= 24

RC= 4.8 m

RM= 2RC= 2× 4.8= 9.6 m

So, distance between Reshma and Mandip is

9.6 m

MARK AS BRAINLIEST