If (3,3), (6,y), (x,7&(5,6)are gbe vertices of a parallelogram taken in order find ghe value of x and y
Answers
Answered by
204
A=(3,3) ; B=(6,y)
C=(x,7) ; D=(5,6)
Given it is a parallelogram
=> diagonals bisect each other
=> AC = BD
now using mid pt. formula
[ (3+ x)/2 ; (3+7)/2 ] = [ (6+5)/2 ; (y+6)/2 ]
comparing and solving both sides
(since 'x' coordinates are equal and 'y' coordinates will be equal)
=> (3+ x) = 11 ; (y+6) = 10
=> x = 8 ; y = 4
C=(x,7) ; D=(5,6)
Given it is a parallelogram
=> diagonals bisect each other
=> AC = BD
now using mid pt. formula
[ (3+ x)/2 ; (3+7)/2 ] = [ (6+5)/2 ; (y+6)/2 ]
comparing and solving both sides
(since 'x' coordinates are equal and 'y' coordinates will be equal)
=> (3+ x) = 11 ; (y+6) = 10
=> x = 8 ; y = 4
Answered by
47
Answer:
hello mate hear is your answer
Step-by-step explanation:
A=(3,3) ; B=(6,y)
C=(x,7) ; D=(5,6)
Given it is a parallelogram
=> diagonals bisect each other
=> AC = BD
now using mid pt. formula
[ (3+ x)/2 ; (3+7)/2 ] = [ (6+5)/2 ; (y+6)/2 ]
comparing and solving both sides
(since 'x' coordinates are equal and 'y' coordinates will be equal)
=> (3+ x) = 11 ; (y+6) = 10
=> x = 8 ; y = 4
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