SOLUTION: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.

SOLUTION: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.

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Question 1122155: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.
Answer by Alex.33(110) (Show Source): You can put this solution on YOUR website!
According to the identities of parallelograms: AE=CE, BE=DE.
2x=x+2 x=2
y+10=4y-8 y=6
BD=BE+DE=16*2=32.
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