Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.
8
13
16
cannot be determined
Since, ABCD is a parallelogram. Diagonals AC and BD bisect each other.
Hence, AE = EC
6x + 13 = 8x – 3
16 = 2x
x = 8 cm.
Find the length of the diagonal AC of the parallelogram ABCD when AE = 4x + 5 and EC = 3x + 7
In quadrilateral ABCD, diagonals AC and BD intersect at point E. Such that AE : EC = BE : ED. Then, ABCD is a parallelogram.