Question

Дано: угол С=90 градусов; угол А=а; AВ=с Найти: АС, ВС, угол В.

Answer 1

АС=косинус А*с
ВС=синус А*с
В=90-а 

Answer 2

Given Information:

- Angle C = 90 degrees - Angle A = a - AB = c

Solution:

To find AC, BC, and angle B, we can use the given information and apply trigonometric ratios.

Finding AC:

Since angle C is a right angle (90 degrees), AC is the hypotenuse of the right triangle ABC. Therefore, AC = c.

Finding BC:

To find BC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, AC is the hypotenuse and AB is one of the other sides. So, we have:

AC^2 = AB^2 + BC^2

Substituting the values, we get:

c^2 = c^2 + BC^2

Simplifying the equation, we find:

BC^2 = 0

This means that BC is equal to 0.

Finding angle B:

To find angle B, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Since angle C is a right angle (90 degrees) and angle A is given as a, we have:

angle B = 180 - angle A - angle C

Substituting the values, we get:

angle B = 180 - a - 90

Simplifying the equation, we find:

angle B = 90 - a

Therefore, the value of angle B is 90 - a.

In summary: - AC = c - BC = 0 - angle B = 90 - a

Please let me know if I can help you with anything else.