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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


A

6

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B

√3

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C

√3/2

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D

2/√3

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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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