Question

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 1m from each other along AD, as shown in Fig. Niharika runs 41​th the distance AD on the 2nd line and posts a green flag. Preet runs 51​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? ​

Answer 1

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AD=100 m

 AB=10m

The coordinates of Niharika's flag =(2,25)

 and the coordinates of Preet'sflag =(8,20).

A(2,25) and B=(8,20)

AB = (20−25)2+(8−2)2

=(−5)2+62=25+36

=61

Distance between both flags is 61 cm

Rashmi has to place her flag at the midpoint of AB.

MIdpoint of AB

= (22+8,225+20)  

= (5,22.5)

Rashmi must place her flag along the fifth line at 22.5 m from A

Answer 2

Answer:

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Step-by-step explanation:

D=100 m and AB=10m

The coordinates of Niharika's flag =(2,25) and the coordinates of Preet's flag =(8,20).

A(2,25) and  B(8,20)

AB = $\sqrt{(20-25) ^2+(8-2) ^2}$  

=  $\sqrt{(-5) ^2+6 ^2}$

  =$\sqrt{25+36}$

​=$\sqrt{61}$

Distance between both flags is  

$\sqrt{61m}$

Rashmi has to place her flag at the midpoint of AB.

MIdpoint of AB = (  $\sqrt{2+8/2}$ ,$\sqrt{25+20/2 }$)  = (5,22.5)

Rashmi must place her flag along the fifth line at 22.5 m from A.