Question

один из острых углов прямоугольного треугольника 50 градусов.Найдите угол между биссектрисой прямого угла и гипотенузой

Answer 1

треугольник АВС. угол С 90 градусов. угол А 50 градусов. СН биссектриса угла С. если биссектриса делит прямой угол то получаются два угла по 45 градусов. в труегольнике АСН известны два угла. С=45,А=50. в треугольнике сумма углов равна 180 градусов. из этого получаем уравнение  угол Н=180-45-50=85 градусов.

Answer 2

Finding the Angle between the Bisector of the Right Angle and the Hypotenuse

To find the angle between the bisector of the right angle and the hypotenuse of a right triangle, we need to know one of the acute angles of the triangle. In this case, we are given that one of the acute angles is 50 degrees.

Let's denote the acute angle as A and the angle between the bisector of the right angle and the hypotenuse as B.

To find angle B, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we know angle A is 50 degrees and the right angle is 90 degrees, we can calculate angle B as follows:

B = 180 - 90 - A

Substituting the given value of angle A as 50 degrees, we have:

B = 180 - 90 - 50

Simplifying the equation:

B = 40 degrees

Therefore, the angle between the bisector of the right angle and the hypotenuse is 40 degrees.

Please note that the information provided is based on the given angle of 50 degrees and the assumption that we are dealing with a right triangle.