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Question

In the adjacent figure 'P' is any interior point of the equilateral triangle ABC of side length 2 units.


If xa  , xb and xc represent the distance of P from the sides BC, CA and AB respectively, then xa + xb + xc is equal to



Your Answer
A

6

Correct Answer
B

√3

Your Answer
C

√3/2

Your Answer
D

2/√3


Solution

The correct option is B

√3


Let A1, B1, C1 are the foot of altitudes drawn from 'P' to sides BC, CA and AB respectively. We have,


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