Question

ЧЕРТЁЖ ПОЖАЛУЙСТА ТОЖЕ ПРИКРЕПИТЕ)Угол между биссектрисой и высотой проведёнными из вершины наибольшего угла прямоугольного треугольника равен 22 градусам.Найдите острые углы данного треугольника.

Answer 1

самый больший угол в прямоугольном треугольнике - это прямой угол равный 90 градусов

пусть угол с равен 90 градусов, из него проведи вымоту вр и биссектрису вк, следовательно угол авк=углу квс=45 градусам, так как угол квр равен 22 градусам, то угол рвс будет равен 45-22=23 градуса

треугольник врс прямоугольный, угол с будет равен 90-23=67 градусов

треугольник авс прямоугольный, угол а=90-67=23

вот и все

Answer 2

Перевод вопроса на английский: "Answer in detail. ATTACH THE DIAGRAM PLEASE) The angle between the bisector and the altitude drawn from the vertex of the largest angle of a right triangle is 22 degrees. Find the acute angles of this triangle."

To solve this problem, we can use the properties of right triangles and their angles. Let's denote the acute angles of the right triangle as x and y, with x being the smaller angle and y being the larger angle.

Step 1: Understanding the problem

The problem states that the angle between the bisector and the altitude drawn from the vertex of the largest angle (right angle) is 22 degrees. We need to find the values of the acute angles x and y.

Step 2: Applying the properties of right triangles

In a right triangle, the sum of the acute angles is always 90 degrees. Therefore, we can write the equation:

x + y = 90 (Equation 1)

Step 3: Applying the given information

The problem states that the angle between the bisector and the altitude is 22 degrees. Let's denote this angle as z.

The bisector divides the largest angle (right angle) into two equal angles. Therefore, the angle between the bisector and the altitude is half of the largest angle. We can write the equation:

z = y/2 (Equation 2)

Step 4: Solving the equations

We now have two equations (Equation 1 and Equation 2) with two unknowns (x and y). We can solve these equations simultaneously to find the values of x and y.

Substituting Equation 2 into Equation 1, we get:

x + 2z = 90

Substituting z = 22 (given), we get:

x + 2(22) = 90 x + 44 = 90 x = 90 - 44 x = 46

Substituting the value of x into Equation 1, we get:

46 + y = 90 y = 90 - 46 y = 44

Step 5: Finding the acute angles

We have found that x = 46 degrees and y = 44 degrees. Therefore, the acute angles of the right triangle are 46 degrees and 44 degrees.

So, the acute angles of the given right triangle are 46 degrees and 44 degrees.

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