Find the perimeter of the parallelogram ABCM if the bisector of the acute angle A
| June 22, 2021 | education
Find the perimeter of the parallelogram ABCM if the bisector of the acute angle A of the parallelogram divides the BC side into segments BK = 4cm, KC = 3cm.
1. Bisector BK divides the ABCM parallelogram into two geometric shapes. One of them is the ABK triangle. According to the properties of a parallelogram, it is isosceles.
BK = AB = 4 centimeters.
2. The length of the side BC is equal to the sum of the lengths of the segments BK and CK:
BC = BK + CK = 4 + 3 = 7 centimeters.
3.Considering that the sides of the parallelogram opposite each other are equal, its perimeter (P) is calculated by the formula:
P = 2 (AB + BC) = 2 (4 + 7) = 22 centimeters.
Answer: P is equal to 22 centimeters.
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