Question

In triangle abc (3,1), (5,6), (-3,2) are midpoints of ab bc and cd respectively. Find the co-ordinates of a,b and c

Answer 1

Answer:

A = (11,5)

B = (-5,-3)

C = (-1,7)

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Step-by-step explanation:

Let the coordinates be,

P=(3,1) ; (x1,y1)

Q=(5,6) ; (x2,y2)

R=(-3,2) ;(x3,y3)

According the the formulae :

A = (x1+x2-x3,y1+y2-y3)

B i8= (x1+x3-x2,y1+y3-y2)

C = (x2+x3-x1,y2+y3-y1)

A = (3+5-(-3),1+6-2)

B = (3+(-3)-5,1+2-6)

C = (5+(-3)-3,6+2-1)

A = (11,5)

B = (-5,-3)

C = (-1,7)