In the given figure ABCD is a rectangle and its diagonals meet at O. Find BD, if OA=2x and OD=6x-8
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Answer:
We know that the diagonals of rectangle bisect each other
so, 6x-8=2x
=6x-2x=8
=4x=8
=x=8/4=2
so the length of BD= 2(6x-8)
=2(6×2-8)
=2(12-8)
=2×4
=8
hence, the length of the diagonal BD=8
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