Answer :


As AR, BS, CT are the minimum distances of the line PQ from the points A, B and C, this can be only achieved when AB||PQ and AR, CT and BS are perpendicular to it.


This makes ARTC and CTSB as a parallelogram.


CT = AR from ARTC parallelogram,


And CT = BS from CTSB parallelogram.


On adding the above two equations, we get


AR + BS = 2CT


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