Question

ABC- треугольник, угол B= 100, AB= 10 см, AC= 12 см, угол C = 50 найдите площадь. заранее спасибо

Answer 1

Решение на фотографии

Answer 2

Calculation of the Area of Triangle ABC

To find the area of triangle ABC, we can use the formula for the area of a triangle given two sides and the included angle. The formula is:

Area = 0.5 * AB * AC * sin(C)

Given the following information: - AB = 10 cm - AC = 12 cm - Angle C = 50 degrees

We can substitute these values into the formula to calculate the area.

Area = 0.5 * 10 cm * 12 cm * sin(50 degrees)

Now, let's calculate the area using the given values.

Area = 0.5 * 10 cm * 12 cm * sin(50 degrees)

Using a calculator, we find that the sine of 50 degrees is approximately 0.766.

Area = 0.5 * 10 cm * 12 cm * 0.766

Calculating further:

Area = 6 cm * 12 cm * 0.766

Area = 72.792 cm²

Therefore, the area of triangle ABC is approximately 72.792 cm².

I hope this helps! Let me know if you have any further questions.