MathematicsThree girls Reshma, Salma and Mandip are playing a game standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma and 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?

Three girls Reshma, Salma and Mandip are playing a game standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma and 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?

A
10m
B
9m
C
9.6m
D
8m

Solution:

Draw perpendicular OA and OB on RS and SM respectivelyLet R,S and M be the position of Reshma, Salma and Mandip respectively.

OR=OS=OM=5 m [radii of circle]
In △OAR

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

RC=CM

We have distance between Reshma and Mandip is 9.6 m
So, option 3 is correct.
solution

solution