In parallelogram ABCD, the bisector of angle D intersects side BC at point F so that BP = 3cm, PC = 7cm. Find pyrimeter?

univerkov | April 27, 2021 | education

1. According to the properties of the parallelogram, the bisector DР separates the isosceles triangle DСР from the parallelogram.

Therefore, CP = CD = 7 centimeters.

2. ВС = ВР + СР = 3 + 7 = 10 centimeters.

3. We calculate the perimeter of the parallelogram, equal to the total length of all its sides, taking into account that the opposite sides of this geometric figure are equal:

2 (СD + Sun) = 2 (7 + 10) = 34 centimeters.

Answer: The perimeter of the parallelogram is 34 centimeters.

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