Question

В выпуклом четырёхугольнике ABCD стороны АВ и CD параллельны и равны;АВ=СD=5 см. Периметр ABCD равен 14 см. Найти длины сторон BC и АD. Срочно пожалуйста​

Answer 1

Ответ:

2 см

Объяснение:

Это очень легко на самом деле

по свойству пар. BC=AD BC||AD

Bc+AD=14-(5+5)=4

BC=AD=4:2=2см

Answer 2

Given Information:

We are given a convex quadrilateral ABCD with sides AB and CD parallel and equal in length, AB = CD = 5 cm. The perimeter of ABCD is 14 cm. We need to find the lengths of sides BC and AD.

Solution:

To find the lengths of sides BC and AD, we can use the fact that the perimeter of a quadrilateral is the sum of the lengths of its sides.

Let's assume the lengths of sides BC and AD are x cm and y cm, respectively.

According to the given information, AB = CD = 5 cm. So, the sum of the lengths of sides AB, BC, CD, and AD is equal to the perimeter of ABCD:

AB + BC + CD + AD = 14 cm

Substituting the given values:

5 cm + x cm + 5 cm + y cm = 14 cm

Simplifying the equation:

x + y + 10 = 14

x + y = 14 - 10

x + y = 4

Now, we have two unknowns (x and y) and one equation. We need another equation to solve for the values of x and y.

Since AB and CD are parallel, we can conclude that BC and AD are also parallel. This means that opposite sides of the quadrilateral are equal in length. Therefore, BC = AD.

Now, we have two equations:

x + y = 4 (Equation 1)

BC = AD (Equation 2)

Since BC = AD, we can substitute BC for AD in Equation 1:

x + x = 4

2x = 4

x = 4/2

x = 2

Substituting the value of x back into Equation 1:

2 + y = 4

y = 4 - 2

y = 2

Therefore, the lengths of sides BC and AD are 2 cm each.

Answer:

The lengths of sides BC and AD in the convex quadrilateral ABCD are both 2 cm.