To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in figure.
Niharika runs `(1)/(4)` th the distance AD on the 2nd line and posts a green flag. Preet runs `(1)/(5)` th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags ? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag ?

Explanation

Given that,

`AD = 100 and AB = 10`

Coordinates of Niharika's flag = `(2,25)`

Coordinates of Preet's flag = `(8,20)`


Hence, `AB = sqrt((20-25)^2-(8-2)^2)`

`=sqrt(25+36)`

`=sqrt(61)`

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