Question

Помогите с геометрией. В прямоугольном треугольнике АВС гипотенуза АВ=44см, угол В=30 градусам, СН высота. Найти отрезки ВН и АН. Напишите решение пожалуйста!!

Answer 1

1 найдём угол АСВ 90-30=60
2 Найдём угол НСВ 60 -30=30
3 угол НСА =60-30=30
4И теперь за правилом АС= 44 : 2= 22
5 АН= 22 : 2= 11
6 ВН= 44-11=33 вот и все)

Answer 2

Problem Statement

We are given a right triangle ABC, where AB is the hypotenuse with a length of 44 cm, angle B is 30 degrees, and CH is the height. We need to find the lengths of segments BH and AH.

Solution

To solve this problem, we can use trigonometric ratios in a right triangle. Let's start by labeling the triangle and its angles:

         A
        /|
       / |
      /  |
     /   |
    /    |
   /     |
  /      |
 /       |
B-------C

We are given that AB = 44 cm, angle B = 30 degrees, and CH is the height. We need to find BH and AH.

Let's start by finding the length of BH. BH is the side adjacent to angle B, so we can use the cosine ratio:

cos(B) = BH / AB

Substituting the given values:

cos(30) = BH / 44

To find BH, we can rearrange the equation:

BH = cos(30) * 44

Now, let's calculate the value of BH:

BH = cos(30) * 44

Using a calculator, we find:

BH ≈ 38.08 cm

Next, let's find the length of AH. AH is the side opposite to angle B, so we can use the sine ratio:

sin(B) = AH / AB

Substituting the given values:

sin(30) = AH / 44

To find AH, we can rearrange the equation:

AH = sin(30) * 44

Now, let's calculate the value of AH:

AH = sin(30) * 44

Using a calculator, we find:

AH ≈ 22 cm

Therefore, the lengths of segments BH and AH are approximately 38.08 cm and 22 cm, respectively.

Please note that the values provided are approximate due to rounding.

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