Question

У паралелограмі ABCD точка М середина огорони BC (див. рисунок). Бісектриси кутівA it Dділять кожен із відрізків Вм і монавпіл. Знайдіть сторону ВС паралелограма., Аякщо його периметр дорівнює 60 см.​

Answer 1

Ответ:

2)60:2=30...........

Answer 2

Ответ:

Ответ на фото

Объяснесние:

Answer 3

Parallelogram ABCD with Point M

In the given parallelogram ABCD, point M is the midpoint of side BC. The bisectors of angles A and D divide each of the segments BM and MC into equal parts. We need to find the length of side BC if the perimeter of the parallelogram is 60 cm.

To solve this problem, let's consider the properties of a parallelogram and use the given information to find the length of side BC.

Properties of a Parallelogram

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It also has opposite angles that are equal. In this case, we are given that ABCD is a parallelogram, so we can use these properties to find the length of side BC.

Solution

Let's denote the length of side BC as x. Since M is the midpoint of BC, we can say that BM = MC = x/2.

According to the given information, the perimeter of the parallelogram is 60 cm. The perimeter of a parallelogram is the sum of all its sides. In this case, the perimeter is equal to 60 cm, so we can write the equation:

2(AB + BC) = 60

Since opposite sides of a parallelogram are equal in length, we can substitute AB with CD and BC with x:

2(CD + x) = 60

Simplifying the equation, we get:

CD + x = 30

Now, let's consider the bisectors of angles A and D. These bisectors divide the segments BM and MC into equal parts. Since BM = MC = x/2, the bisectors divide each of these segments into x/4.

Therefore, we can write the equation:

x/4 + x/4 = x/2

Now, let's substitute the value of x/2 into the equation we obtained earlier:

CD + x = 30

x/4 + x/4 = x/2

x/2 + x/2 = 30

Simplifying the equation, we get:

x = 20

Therefore, the length of side BC in the parallelogram is 20 cm.

Please note that the given information and solution are based on the properties of a parallelogram and the given conditions.