In the parallelogram ABCD BE is the bisector of angle B. AE = 8 CM, ED = 2 cm. Find the perimeter of the parallelogram.

univerkov | September 21, 2021 | education

1. The bisector BE of the parallelogram ABCD cuts off the triangle ABE, which is isosceles (according to the properties of the parallelogram). Therefore, AB = AE = 8 centimeters.

2. AD = AE + DE = 8 + 2 = 10 centimeters.

2. Opposite sides of the parallelogram ABCD are equal (according to the parallelogram properties). Therefore, AB = CD = 8 centimeters. … BC = AD = 10 centimeters.

3. The perimeter of the parallelogram ABCD = 2AB + 2BC = 2 x 8 + 2 x 10 = 16 + 20 = 36 centimeters.

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