Please answer me this- " Three girls Reshma, salma and mandeep are playing agame by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to mandeep, mandeep to salma and salma to reshma. if the dist. between rshma and salma and between almaand mandeep is 6m each then find the dist between reshma and mandeep?
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AR = AS = 6/2 = 3 cm
OR = OS = OM = 5 m (Radii of the circle)
In ΔOAR,
OA2 + AR2 = OR2
OA2 + (3m)2 = (5m)2
OA2 = (25 − 9) m2 = 16m2
OA = 4 m
ORSM will be a kite (OR = OM and RS = SM)
We know that the diagonals of a kite are perpendicular and the diagonal common to both the isosceles triangles is bisected by another diagonal
RCS will be of 90° and
RC = CM
Area of ΔORS = 1/2 * OA * RS
1/2 * RC * OS = 1/2 * 4 * 6
RC * 5 = 24
RC = 4.8
RM = 2 (RC)
= 2 * 4.8
= 9.6
Therefore, the distance between Reshma and Mandip is 9.6 m
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