Three consecutive vertices of //gm are (5, 6), ( 2, 8) and ( 0, 6). Find the fourth vertex.
Answers
Answer:
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let the point of intersection of diagonals be M(m,n)
m=
2
−2+4
=1 and n=
2
−1+3
=1
∴m=1 and n=1
Let the Fourth vertex be D(x,y)
⇒ m=
2
1+x
=1 and n=
2
0+y
=1
x+1=2 and y=2
Thus x=1 & y=2
The fourth vertex of the parallelogram is D≡(1,2)