Math, asked by mansoorshamira, 3 months ago

Diagonals AC and BD of parallelogram ABCD intersect at O. If OA =2x-3​

Answers

Answered by aaravshrivastava29
3

Answer:

Hey the full the question is,

Diagonals AC and BD of parallelogram ABCD intersect at O. If OA =2x-3​,OC=y+4,OB=x+3 and OD=2y-1, find the values of x and y.

I am giving the solution of the above question. Ok?

x= 6 and y=5

Step-by-step explanation:

ABCD, is a parallelogram in which AC and BD are diagonals which intersect at point O.

we know that diagonals bisect each other so

OA=OC AND OB=OD.

Now, OA=OC,

2x-3=y+4

y=2x-7        (1)

Now,

OB=OD

x+3=2y-1

x+3=2(2x-7)-1

x+3=4x-14-1

x-4x=-18

-3x= -18

x=6

Now, put x =6 in (1), we get  

y=2×6-7=12 - 7 =5

so, x=6 and y=5

I hope it would helpful to you.

Answered by SmitaMissinnocent
5

Answer:

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