Question
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?
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Let the three girls Reshma, Salma and Mandip are standing on the circle of radius cm at points and respectively.
Here, chord chord .
center lies on bisector of i.e. ray
Now, m.
Let chord
....perpendicular from center to the chord, bisects the chord.
In ,
....Pyhtagoras theorem
... (1)
In the ,
....Pythagoras theorem
... (2)
From (1) and (2) , we get
Putting in (1) we get
m
m
m
Hence, the distance between Reshma and Mandip m
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Question Text | 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? |
Answer Type | Text solution:1 |
Upvotes | 150 |