In parallelogram ABCD, the diagonals meet at point E. Find the lengths of the line segments AC

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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