Question

In a rectangle ABCD, the diagonals AC and BD intersect at O. If OA=2y+3, OD=3y+1, find the lengths of the diagonals.

Answer 1

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Answer 2

ABCD is a rectangle.

so diagonals bisect each other

so,diagonalOA=diagonalOD

2y+3=3y+1

2y-3y=1-3

-y=-2

y=2

OA=2(2)+3

OA=4+3

OA=7

OD=3(2)+1

OD=6+1

OD=7.

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