Question

Треугольник АВС известно АС=39см угол В=60градусов уголС=45 градуса найти АВ​

Answer 1

Ответ:

АВ=39√6

Пошаговое объяснение:

это правильно

Answer 2

Given Information

We are given the following information about triangle ABC: - AC = 39 cm - ∠B = 60 degrees - ∠C = 45 degrees

Solution

To find the length of AB, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In other words:

AB / sin(∠A) = AC / sin(∠C)

We can rearrange this equation to solve for AB:

AB = (AC * sin(∠A)) / sin(∠C)

To find ∠A, we can use the fact that the sum of the angles in a triangle is 180 degrees:

∠A = 180 - ∠B - ∠C

Substituting the given values, we have:

∠A = 180 - 60 - 45 = 75 degrees

Now we can substitute the values into the equation for AB:

AB = (39 * sin(75)) / sin(45)

Using a calculator, we can find the values of sin(75) and sin(45):

sin(75) ≈ 0.9659 sin(45) ≈ 0.7071

Substituting these values, we have:

AB ≈ (39 * 0.9659) / 0.7071 ≈ 53.29 cm

Therefore, the length of AB is approximately 53.29 cm.

Answer

The length of AB in triangle ABC is approximately 53.29 cm.