Question

Даю 50 баллов В параллелограмме ABCD проведена биссектриса угла А, котораяпересекает сторону ВС в точке М. Найти периметр параллелограмма,если известно, что CD = 8 см, СМ = 4 см. Очень срочно!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! нужно подробное решение

Answer 1

Ответ:

40 см. Решение на фото, надеюсь почерк понятный)

Answer 2

To find the perimeter of the parallelogram ABCD, we need to determine the lengths of the other sides. Let's break down the problem step by step.

Given Information:

- CD = 8 cm - CM = 4 cm

Solution:

1. Since the bisector of angle A intersects side BC at point M, we can conclude that triangle AMC is an isosceles triangle. This means that CM is equal to AM. 2. We can use this information to find the length of side AB. Since AB is parallel to CD, we can conclude that AB is also equal to CD. - Therefore, AB = CD = 8 cm. 3. Now, we can find the length of side AD. Since AD is parallel to BC, we can conclude that AD is also equal to BC. - Therefore, AD = BC = 4 cm. 4. The perimeter of a parallelogram is the sum of all its sides. So, to find the perimeter of ABCD, we add the lengths of all four sides. - Perimeter = AB + BC + CD + DA - Perimeter = 8 cm + 4 cm + 8 cm + 4 cm - Perimeter = 24 cm

Therefore, the perimeter of the parallelogram ABCD is 24 cm.

I hope this helps! Let me know if you have any further questions.