Question

Найдите площадь треугольника, две стороны которого равны 4 и 6, а угол между ними - 30 градусов

Answer 1

По формуле S = 1/2 ab sinα S=1/2*4*6*0,5=0,5*24*0,5=6

Answer 2

Finding the Area of a Triangle with Given Sides and Angle

To find the area of a triangle with two sides of length 4 and 6, and the angle between them being 30 degrees, we can use the formula:

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

Where: - a and b are the lengths of the two sides - C is the angle between the two sides

Using this formula, we can calculate the area of the triangle.

Calculation

Using the given information: - Side a = 4 - Side b = 6 - Angle C = 30 degrees

We can calculate the area using the formula:

Area = (1/2) * 4 * 6 * sin(30)

Result

The area of the triangle is approximately 6 square units.

This calculation is based on the formula for the area of a triangle given the lengths of two sides and the included angle, as provided by mathematical principles