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P IS A POINT ANSIDE AN EQUILATERSL TRIANGLE OF 2010 UNITS.THE SUM OF THE LENGTH OF ALL PERPENDICULARS DRAWN FROM P TO SIDES IS 1.2010 2.2010ROOT3 3.1005ROOT3 4.2010/ROOT3

P IS A POINT ANSIDE AN EQUILATERSL TRIANGLE OF 2010 UNITS.THE SUM OF THE LENGTH OF ALL PERPENDICULARS DRAWN FROM P TO SIDES IS


1.2010


2.2010ROOT3


3.1005ROOT3


4.2010/ROOT3

Grade:10

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

As this sum is independent of position of P,

 

Consider P to be on one of the vertices.....

 

Hence sum = length of altitude = {root(3)/2}*a

 

Option 3.

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