In parallelogram ABCD, the diagonals intersect at point E. Find the diagonals of the parallelogram

In parallelogram ABCD, the diagonals intersect at point E. Find the diagonals of the parallelogram if AE = 3dm, BE = 5dm.

By the property of a parallelogram, its diagonals, at a point from the intersection, are divided in half, therefore AE = CE = AC / 2, BE = DE = BD / 2.

Then AC = 2 * AE = 2 * 3 = 6 dm, BD = 2 * BE = 2 * 5 = 10 dm.

Answer: The diagonals of the parallelogram are 6 inches and 10 inches.



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