Question

2 стороны треугольника равны 4 и 5 см а угол между ними равен 30 найти площадь

Answer 1

S= 1/2*a*b*Sin(альфа)
S=1/2*4*5*1/2=5

Answer 2

Given Information

We are given that two sides of a triangle are equal to 4 cm and 5 cm, and the angle between them is 30 degrees. We need to find the area of the triangle.

Solution

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

Area = (1/2) * a * b * sin(C)

where: - a and b are the lengths of the two sides of the triangle, - C is the angle between the two sides.

In this case, we have a = 4 cm, b = 5 cm, and C = 30 degrees.

Substituting these values into the formula, we get:

Area = (1/2) * 4 cm * 5 cm * sin(30 degrees)

To calculate the sine of 30 degrees, we can use the trigonometric function sin(30 degrees) = 0.5.

Substituting this value into the formula, we have:

Area = (1/2) * 4 cm * 5 cm * 0.5

Simplifying the expression, we get:

Area = 10 cm²

Therefore, the area of the triangle is 10 square centimeters.