Question

if a(4,-8), b(-9,7) and c(18,13) are th vertices of a triangle ABC, find the length of median through A and co-ordinate of centroid of triangle???

Answer 1

Answer: lenght = 13.86 units

Centroid = (4.3,7.3)

Step-by-step explanation:

Median through A bidects the opp. side BC

Mid. Point of BC(M) = {(-9+18)/2,(13+7)/2}

= (4.5,10)

Length of median = lenght of AM

= √(y2-y1)^2+(x2-x1)^2

= √(10-4)^2+(4.5+8)^2

= √36+156.25

= 13.86 units

Centroid = {(4-9+18)/3,(-8+7+13)/3}

= (13/3,22/3)

= (4.3,7.3)

Answer 2

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