Three girls Reshm

To Find: Distance between Reshma and Mandip
Given: Distance between Reshma and Salma and between Salma and Mandip is 6m
Diagram:

Explanation:

Draw perpendicular OA on RS.

As OA ⊥ RS,

RA = AS

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

 Now in ΔOAR by Pythagoras theorem,

OR² = OA² + RA²

OA² = 5² - 3²

OA² = 25 – 9

OA² = 16

OA = 4

Now we know,

Area of triangle = ½ × B × H

Area ΔORS = ½ × OS × RK

               = ½ × 5 × RK  ….. (1)

Also,

Area ΔORS = ½ × OA × RS

               = ½ × 4 × 6
               = 12    ….. (2)

From (1) and (2),

½ × 5 × RK = 12


RK = 4.8 m
As the perpendicular from the centre of a circle bisects the chord.

As RM = 2RK

          = 2× 4.8

          = 9.6 m