Question

найдите периметр трапеции-Р)АВСД)-? , если АВ+СД=4 см, Средняя линия КО=3 см

Answer 1

периметр-это сумма всех сторон трапеции, нам известно две АВ+СД=4. средняя линия 3=ВС+АД/2

ВС+АД=6

ВС+АД+АВ+СД=6+4=10

формула средней линии ВС+АД/2=3

теперь отсюда=3*2=6

нарисуйте трапецию, отметте её буквами, так легче понять.

Answer 2

Calculating the Perimeter of Trapezoid ABCD

To calculate the perimeter of trapezoid ABCD, we can use the given information that AB = CD = 4 cm and the length of the median line KO is 3 cm.

Given: - AB = CD = 4 cm - KO = 3 cm

Solution:

The perimeter of a trapezoid is the sum of the lengths of all its sides. In this case, the trapezoid ABCD has four sides: AB, BC, CD, and DA.

We can calculate the perimeter using the formula: Perimeter = AB + BC + CD + DA

From the given information, we know that AB = CD = 4 cm. We also know that the median line KO is 3 cm.

Using the given information, we can calculate the length of the other sides of the trapezoid.

Calculating the Length of Side BC:

From the given snippets, we can see that the length of side BC is not directly provided. However, we can use the information provided to calculate the length of BC.

We can use the fact that the median line KO divides the trapezoid into two equal parts. Therefore, the length of side BC can be calculated using the Pythagorean theorem.

Let's denote the length of the perpendicular from K to side AD as h. Then, we can use the fact that the median line KO divides the trapezoid into two equal parts to calculate the length of BC.

Using the Pythagorean theorem: h^2 + (AB - CD)^2 = KO^2

Substitute the given values: h^2 + (4 - 4)^2 = 3^2 h^2 = 9 h = 3

Now, we can calculate the length of side BC: BC = 2 * h = 2 * 3 = 6 cm

Calculating the Perimeter:

Now that we have the lengths of all the sides, we can calculate the perimeter of trapezoid ABCD: Perimeter = AB + BC + CD + DA Perimeter = 4 + 6 + 4 + 6 Perimeter = 20 cm

So, the perimeter of trapezoid ABCD is 20 cm.

(#1)(#2)(#3)