if the coordinates of midpoints of sides of a triangle are (- 1,6) , (-3,-9) and (5,-8), the coordinates of centroid of triangle are
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Step-by-step explanation:
X1 = -1, X2 = -3, X3 = 5
Y1 = 6, Y2 = -9, Y3 = -8
Triangle = 1/2 [ -1(-9+8) + (-3)(-8-6) + 5(6+3) ]
= 1/2 [ -1×1 -3×-2 + 45 ]
= 1/2 [ -1 -6 + 45 ]
= 1/2 [ -7 + 45 ]
= 1/2 × -52
= -26
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