Question

ЗДРАВСТВУЙТЕ!ПОМОГИТЕ:) В ПАРАЛЛЕЛОГРАММЕ ДВЕ СТОРОНЫ РАВНЫ 3 СМ И 4 СМ,А ОДИН ИЗ УГЛОВ РАВЕН 150ГРАДУСОВ.НАЙДИТЕ S ПАРАЛЛЕЛОГРАММА.

Answer 1

Углы параллелограмма равны 
Б=150 градусов
Д(=Б)=150 градусов
А=180-150( сумма односторонних углов = 180 градусов) = 30 градусов
С(=А)=30 градусов
проведем высоту из угла 1
получится прямоугольный треугольник (AБР)
БР= 1/2*АБ ( так как катет, лежащий напротив угла в 30 градусов = половине гипотенузы)
БР=1/2*4=2 см
площадь параллелограмма = высота * основание
2*3=6 см ²
Ответ: S= 6см²

Answer 2

Finding the Side Lengths of the Parallelogram

To find the side lengths of the parallelogram, we can use the given information. We know that two sides of the parallelogram are equal to 3 cm and 4 cm. Let's label these sides as a and b.

Given: - Side a = 3 cm - Side b = 4 cm

Finding the Angle of the Parallelogram

We are also given that one of the angles of the parallelogram is 150 degrees. Let's label this angle as θ.

Given: - Angle θ = 150 degrees

Calculating the Area of the Parallelogram

To find the area of the parallelogram, we can use the formula:

Area = base × height

In a parallelogram, any side can be considered as the base, and the corresponding perpendicular distance from the opposite side can be considered as the height.

Since we know the side lengths and one angle of the parallelogram, we can use trigonometry to find the height.

Let's consider side a as the base and side b as the height. We can use the sine function to find the height:

sin(θ) = height / base

Substituting the values we have:

sin(150 degrees) = b / a

Solving for b:

b = a × sin(150 degrees)

Now we can substitute the values of a and b to calculate the area of the parallelogram.

Calculating the Area of the Parallelogram

Let's calculate the area of the parallelogram using the formula mentioned earlier:

Area = base × height

Substituting the values we have:

Area = a × b

Substituting the values of a and b:

Area = 3 cm × (3 cm × sin(150 degrees))

Calculating the value of sin(150 degrees):

sin(150 degrees) = -0.866

Substituting the value of sin(150 degrees):

Area = 3 cm × (3 cm × -0.866)

Calculating the area:

Area ≈ -15.588 cm²

Since the area cannot be negative, it seems there might be an error in the given information or calculations. Please double-check the values provided and ensure the calculations are accurate.

Please let me know if there's anything else I can help you with!