Question

В параллелограме авсд. Ав=8 см,ад=10 см. Угол вад=30°.найти площадь параллелограмма

Answer 1

Площадь равна АВ*АД*sinВАД=8*10*1/2=40 см кв

Answer 2

Finding the Area of a Parallelogram

To find the area of a parallelogram, we can use the formula: Area = base × height. In this case, the given information is that in parallelogram ABCD, AB = 8 cm, AD = 10 cm, and angle BAD = 30°.

Calculating the Area

To find the area of the parallelogram, we need to calculate the height of the parallelogram. We can use the given angle BAD to find the height.

The height of the parallelogram can be calculated using the formula: height = AB × sin(BAD).

Given: - AB = 8 cm - Angle BAD = 30°

Using the formula, we can calculate the height: height = 8 × sin(30°)

Calculation

Using the given angle BAD = 30°, we can calculate the height as follows: height = 8 × sin(30°) = 8 × 0.5 = 4 cm

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

Substituting the values: Area = 10 cm × 4 cm = 40 cm²

Conclusion

Therefore, the area of the parallelogram ABCD is 40 square centimeters.