Question

A=2см c=4см Знайти другий катет і гострі кути​

Answer 1

Ответ:

есть формула пифагора

${c}^{2} = {a}^{2} + {b}^{2 } \\ {4}^{2} = {2}^{2} + x \\ 16 = 4 + x \\ x = 16 - 4 \\ x = 12$

Answer 2

To find the second leg and acute angles of a right triangle given side lengths, we can use the Pythagorean theorem and trigonometric functions. Let's calculate the missing values.

Given: Side A = 2 cm Side C = 4 cm

Using the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (side C) is equal to the sum of the squares of the other two sides (A and the second leg, B).

So, C^2 = A^2 + B^2

Substituting the given values: 4^2 = 2^2 + B^2 16 = 4 + B^2 B^2 = 16 - 4 B^2 = 12 B = √12 B ≈ 3.464 cm (rounded to three decimal places)

Now that we have the lengths of both legs, we can find the acute angles using trigonometric functions. Let's find the angle opposite side A first.

sin(Angle A) = A / C sin(Angle A) = 2 / 4 sin(Angle A) = 0.5 Angle A = arcsin(0.5) Angle A ≈ 30° (rounded to the nearest degree)

To find the second acute angle, we can subtract Angle A from 90° (since the sum of the angles in a triangle is 180°, and we already have a right angle).

Angle B = 90° - Angle A Angle B = 90° - 30° Angle B = 60°

So, the second leg of the right triangle is approximately 3.464 cm, and the acute angles are approximately 30° and 60°.