Question

Знайдіть катет bc прямокутного трикутника ABC (кут C =90°) якщо AC = 8см, tg A=0,6 ДАЮ 20 БАЛІІВВ! ​

Answer 1

Ответ:

Ось, тримай мою відповідь:

Answer 2

Finding the Length of Side BC in Right Triangle ABC

To find the length of side BC in right triangle ABC, we can use the given information that AC = 8 cm and tan(A) = 0.6.

First, let's find the length of side AB using the given information and then use it to find the length of side BC.

Calculating the Length of Side AB

We can use the tangent function to find the length of side AB. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Given: - AC = 8 cm - tan(A) = 0.6

We can use the formula: tan(A) = opposite/adjacent

So, we have: 0.6 = AB/8

Solving for AB: AB = 0.6 * 8 AB = 4.8 cm

Calculating the Length of Side BC

Now that we have the length of side AB, we can use the Pythagorean theorem to find the length of side BC.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem: BC^2 = AC^2 - AB^2 BC^2 = 8^2 - 4.8^2 BC^2 = 64 - 23.04 BC^2 = 40.96

Taking the square root of both sides: BC = √40.96 BC ≈ 6.4 cm

Conclusion

Therefore, the length of side BC in right triangle ABC is approximately 6.4 cm.