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The vertices of a triangle are A(0,0,6),...

The vertices of a triangle are A(0,0,6),B(0,4,0) and C(6,0,0). Let D,E and F be the mid-points of sides [BC],[CA] and [AB] respectivley. Verify that three times the sum of squares of sides is equal to four times the sum of squares of the medians.

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