Question

Найдите площадь ромба ,если его сторона равна 30см ,а острый угол равен 30 градусам

Answer 1

S=a•sin(a)
30•sin30=450 см2
Ответ:450 см2

Answer 2

Finding the Area of a Rhombus

To find the area of a rhombus, we can use the formula: Area = (d1 * d2) / 2, where d1 and d2 are the diagonals of the rhombus.

Given that the side of the rhombus is 30 cm and one of the acute angles is 30 degrees, we can use this information to find the diagonals and then calculate the area.

First, let's find the diagonals of the rhombus.

The diagonals of a rhombus can be calculated using the formula: d1 = 2 * side * sin(angle) and d2 = 2 * side * cos(angle), where side is the length of one side of the rhombus and angle is one of the acute angles.

Using the given values: - Side = 30 cm - Angle = 30 degrees

We can calculate the diagonals using the above formulas.

Calculating the Diagonals

Using the formula d1 = 2 * side * sin(angle): - d1 = 2 * 30 * sin(30) - d1 = 2 * 30 * 0.5 - d1 = 30 * 2 - d1 = 60 cm

Using the formula d2 = 2 * side * cos(angle): - d2 = 2 * 30 * cos(30) - d2 = 2 * 30 * 0.866 - d2 = 30 * 1.732 - d2 = 51.96 cm

Now that we have the values of the diagonals, we can calculate the area of the rhombus using the formula Area = (d1 * d2) / 2.

Calculating the Area

- Area = (60 * 51.96) / 2 - Area = 3117.6 / 2 - Area = 1558.8 square cm

So, the area of the rhombus is 1558.8 square cm.