Question

у прямокутному трикутнику АВС провели висоту СМ до гіпотенузи АВ відомо що кут А = 30° і ВМ=5см. Знайдіть гіпотенузу АВ

Answer 1

розв'язання завдання додаю

Answer 2

Ответ:

Объяснение:

Решаем по свойству пропорциональных отрезков.

Answer 3

Problem Analysis

We are given a right triangle ABC, where angle A is 30° and the length of VM (the altitude from C to the hypotenuse AB) is 5 cm. We need to find the length of the hypotenuse AB.

Solution

To find the length of the hypotenuse AB, we can use the trigonometric relationship between the sides of a right triangle.

Let's denote the length of AB as x.

Using the trigonometric relationship for a right triangle, we have:

sin(A) = opposite/hypotenuse

In this case, the opposite side of angle A is VM and the hypotenuse is AB.

So, we can write:

sin(30°) = VM/AB

Substituting the given values, we have:

sin(30°) = 5/x

To solve for x, we can rearrange the equation:

x = 5/sin(30°)

Now, we can calculate the value of x using the sine function:

x = 5/sin(30°) ≈ 10 cm

Therefore, the length of the hypotenuse AB is approximately 10 cm.

Answer

The length of the hypotenuse AB is approximately 10 cm.