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
√3
Let A1, B1, C1 are the foot of altitudes drawn from 'P' to sides BC, CA and AB respectively. We have,