Question

Дан треугольник ABC модуль-> AC=3 см,модуль-> BC=4 см, угол C=60 градусов, Найти площадь прямоугольника!

Answer 1

S=AC*BC*sin60
S=4*3*sin60
S=12*V3/2
S=6V3

Answer 2

Finding the Area of a Triangle

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

Area = (1/2) * base * height

First, let's find the height of the triangle. We can use the formula for the height of an equilateral triangle, which is:

height = (sqrt(3) / 2) * side

Given that AC = 3 cm and angle C = 60 degrees, we can use trigonometric functions to find the height of the triangle.

Calculating the Height of the Triangle

Using the trigonometric function, we can find the height of the triangle as follows:

height = AC * sin(C)

height = 3 * sin(60°)

height = 3 * √3 / 2

height = (3√3) / 2 cm

Calculating the Area of the Triangle

Now that we have the height, we can calculate the area of the triangle using the formula mentioned earlier:

Area = (1/2) * BC * height

Area = (1/2) * 4 * (3√3 / 2)

Area = 2 * (3√3)

Area = 3√3 cm²

So, the area of triangle ABC is 3√3 square centimeters.