Question

У трикутнику АВС кут С дорівнює 90 градусів кут В=30 градусів, АВ=6см знайдіть АС ​

Answer 1

Відповідь:

Пояснення:

Answer 2

Given Information

We are given the following information about triangle ABC: - Angle C is 90 degrees. - Angle B is 30 degrees. - Side AB is 6 cm.

Finding Side AC

To find side AC, we can use the trigonometric ratios in a right triangle. In this case, we can use the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse. In this case, the side opposite angle B is AC, and the hypotenuse is AB.

The sine of angle B can be calculated as follows: sin(B) = opposite/hypotenuse = AC/AB

We can rearrange the equation to solve for AC: AC = sin(B) * AB

Now, let's substitute the given values into the equation: AC = sin(30 degrees) * 6 cm

To find the value of sin(30 degrees), we can refer to a trigonometric table or use a calculator. The value of sin(30 degrees) is 0.5.

Substituting this value into the equation, we get: AC = 0.5 * 6 cm = 3 cm

Therefore, the length of side AC is 3 cm.

Answer

The length of side AC in triangle ABC is 3 cm.