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1. Show that if we have on the same line OA + OB + OC = 0 PQ + PR + PS = 0 then

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1. Show that if we have on the same line OA + OB + OC = 0 PQ + PR + PS = 0 then AQ + BR + CS = 30P 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right triangle from the two points of trisection of the hypotenuse is equal to 5/9 the square of the hypotenuse

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