Question

Биссектриса угла A параллелограмма ABCD пересекает сторону BC в точке K. Найдите периметр этого параллелограмма, если BK=12 см, KC=6 см Ответ возможен в виде фотографии. Заранее спасибо.

Answer 1

P=AB+BC+CD+AD=12+6=18=18+18+18+18=72

Answer 2

Finding the Perimeter of a Parallelogram with a Bisector

To find the perimeter of the parallelogram ABCD, we need to use the information given about the bisector of angle A and the lengths of BK and KC.

Let's analyze the given information step by step:

1. The bisector of angle A of parallelogram ABCD intersects side BC at point K. 2. It is given that BK = 12 cm and KC = 6 cm.

To find the perimeter of the parallelogram, we need to determine the lengths of the other sides. Since ABCD is a parallelogram, opposite sides are equal in length.

Let's denote the length of side AB as x cm. Since BK is given as 12 cm, we can conclude that AK is also 12 cm (since opposite sides of a parallelogram are equal in length).

Similarly, let's denote the length of side AD as y cm. Since KC is given as 6 cm, we can conclude that KD is also 6 cm.

Now, we can determine the lengths of sides BC and CD. Since opposite sides of a parallelogram are equal in length, we have:

BC = AK = 12 cm CD = KD = 6 cm

To find the perimeter, we add up the lengths of all four sides:

Perimeter = AB + BC + CD + AD

Substituting the values we found:

Perimeter = x + 12 + 6 + y

Unfortunately, we don't have enough information to determine the exact values of x and y. The problem statement does not provide any additional information about the lengths of AB and AD or any other angles or side lengths.

Therefore, we cannot provide the exact perimeter of the parallelogram ABCD based on the given information.

If you have any additional information or if there is anything else I can help you with, please let me know!