Question

У Прямокутному трикутнику АВС (С=90) кут САВ=48 Сторона АС =4см. Як знайти АВ?

Answer 1

Рисуете обычно прямоугольный треугольник, угол А = 48градусов а АС = 4см.
Определим АВ
     Решение:
Косинус угла - это отношение прилежащего катета к гипотенузе, тоесть:
$\cos A= \frac{AC}{AB} \\ AB= \frac{AC}{\cos48а} = \frac{4}{\cos48а} \approx6\,\,cm$

Answer 2

Finding the length of AB in a right triangle ABC (C=90), given that angle CAV is 48 and side AC is 4 cm.

To find the length of side AB in a right triangle ABC, we can use trigonometric ratios. In this case, we are given the measure of angle CAV (48 degrees) and the length of side AC (4 cm).

The trigonometric ratio that relates the length of the side adjacent to an angle and the hypotenuse is the cosine ratio. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, we can use the cosine ratio to find the length of side AB. The adjacent side is AC and the hypotenuse is AB.

Let's calculate the length of AB using the cosine ratio:

Step 1: Identify the given values: - Angle CAV = 48 degrees - Side AC = 4 cm

Step 2: Apply the cosine ratio: cos(CAV) = AC / AB

Step 3: Solve for AB: AB = AC / cos(CAV)

Substituting the given values: AB = 4 cm / cos(48 degrees)

To find the value of cos(48 degrees), we can use a scientific calculator or an online calculator. The value of cos(48 degrees) is approximately 0.6691.

Substituting this value into the equation: AB ≈ 4 cm / 0.6691 ≈ 5.98 cm

Therefore, the length of side AB in the right triangle ABC is approximately 5.98 cm.

Please note that the values used in this calculation are approximate and rounded for simplicity.