Question

Данний прямокутний трикутник АВС, гострий кут А дорівнює 60°, сторона АВ дорівнює 8. Обчисли сторону АС.​

Answer 1

Ответ:

Объяснение:

трикутник АВС, кутА=60, ВС=15, АС=ВC/tg60=15/корінь3=5*корінь3, кутВ=90-60=30, тоді АВ=2*АС=2*5*корінь3=10*корінь3

Answer 2

Calculation of Side AC in a Right Triangle

To calculate the length of side AC in the given right triangle ABC, we can use the trigonometric relationship between the sides and angles of a right triangle.

Given: - Angle A = 60° - Side AB = 8

We need to find side AC.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. In this case, side AC is the hypotenuse, and side AB is one of the legs.

Using the trigonometric relationship, we can use the sine function to find the length of side AC:

sin(A) = opposite/hypotenuse

In this case, the opposite side is AB, and the hypotenuse is AC. So we have:

sin(60°) = AB/AC

To find AC, we can rearrange the equation:

AC = AB / sin(A)

Substituting the given values:

AC = 8 / sin(60°)

Now, let's calculate the value of AC.

Using the search results, we can find that the sine of 60° is approximately 0.866.

AC = 8 / 0.866

Calculating this expression, we find:

AC ≈ 9.24

Therefore, the length of side AC in the given right triangle ABC is approximately 9.24 units.