Question

20 БАЛЛОВ! найти площадь параллелограмма,угол которого равен 30 градусов,а высоты,проведённые из тупого угла равны 4см и 5см ПОМОГИТЕ ПОЖАЛУЙСТА!

Answer 1

Дано: ABCD - параллелограмм

угол A=30°, BE = 4см, BH = 5см

Найти:

Sᴀbᴄᴅ - ?

Решение:

Sᴀbᴄᴅ=CD•BH

1) В ∆ABE: угол E = 90°, угол A =30°, => BE = 1/2AB, 4=1/2AB, тоесть AB = 8 см

2) CD = AB = 4см, => Sᴀbᴄᴅ = 8•5 = 40 (см²)

Ответ: 40см²

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 base of the parallelogram is the side opposite the given angle of 30 degrees, and the height is the length of the altitude drawn from the obtuse angle.

Let's calculate the area step by step:

1. Identify the given information: - Angle: 30 degrees - Altitudes: 4 cm and 5 cm

2. Determine the base of the parallelogram: - The base is the side opposite the given angle. - Since all sides of a parallelogram are equal, we can choose any of the given altitudes as the base. - Let's choose the altitude of 4 cm as the base.

3. Calculate the area: - Area = base × height - Area = 4 cm × 5 cm - Area = 20 cm²

Therefore, the area of the parallelogram is 20 square centimeters.

Please note that the given sources did not provide specific information about the formula for finding the area of a parallelogram with given angles and altitudes. However, the formula mentioned above is a standard formula used to calculate the area of a parallelogram.