Question

Смежные стороны параллелограмма равны 12см и 14 см, а его отсрый угол равен 30 градусов. Найдите площадь параллелогрмма.

Answer 1

площадь параллелограма назодится по формуле S=a*b*sina

S=12*14*1/2=84

 

 

Answer 2

в параллелограмме АВСД ВС=ВД=14

АВ=СД=12

угол А=30градусов

проведем ВН-высота к стороне АД

по теореме Пифагора ВН=1/2АВ=6

площадь АВСД=ВН*АД=6*14=84

Answer 3

Calculating the Area of a Parallelogram

To find the area of a parallelogram, we can use the formula: Area = base * height. However, in this case, we need to calculate the height of the parallelogram first.

Given: - The adjacent sides of the parallelogram are 12 cm and 14 cm. - The angle between these sides is 30 degrees.

Calculating the Height of the Parallelogram

To calculate the height of the parallelogram, we can use the formula: height = side * sin(angle).

Using the given values: - Side a = 12 cm - Side b = 14 cm - Angle = 30 degrees

We can calculate the height using the formula: height = 12 cm * sin(30 degrees)

Calculating the Area of the Parallelogram

Now that we have the height, we can calculate the area of the parallelogram using the formula: Area = base * height

Substituting the values: Area = 14 cm * (12 cm * sin(30 degrees))

Let's calculate the height and then the area.