ABCD-passwordlogram AK-bisector angle BAD KC = 2cm, P abcd = 28cm What is the side of CD.

univerkov | February 11, 2021 | education

Let the side length AB = X cm.

Since AK is the bisector of the angle ВAD, it cuts off the isosceles triangle AВK in which AB = ВK = X cm.

In a parallelogram, the opposite sides are equal, then СD = X cm, AD = BC = X + 2 cm.

Then the perimeter of the parallelogram will be: Ravsd = AB + BC +CD + AD = X + X + 2 + X + X + 2 = 28 cm.

4 * X = 28 – 4 = 24 cm.

X = AB = CD = 24/4 = 6 cm.

Answer: The length of the side of the CD is 6 cm.

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