In parallelogram ABCD, the diagonals meet at point E. Find the lengths of the line segments AC and DE. if AE = 7mm, BE = 8mm.
To solve the problem, consider the figure.
By the property of the parallelogram, the diagonals of the parallelogram, at the point of their intersection, are divided in half.
Therefore, AE = CE, BE = DE.
Then: AC = 2 * AE = 2 * 7 = 14 mm.
DE = BE = 8 mm.
Answer: AC = 14 mm, DE = 8 mm.
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