Question

ДАМ 100 БАЛОВ у прямокутному трикутнику АВС ([С=90°) ( А=30°) знайдіть : ВС,якщо АВ=12 см 2) АВ,якщо ВС=3 дм ​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

I can chat with you in Ukrainian. You asked me to answer in detail. You gave me 100 points for a right-angled triangle ABC (C = 90°) (A = 30°) find: BC, if AB = 12 cm 2) AB, if BC = 3 dm.

To solve this problem, we can use the trigonometric ratios of the acute angles in the triangle. For example, we can write:

$$\sin A = \frac{BC}{AC}$$

$$\cos A = \frac{AB}{AC}$$

$$\tan A = \frac{BC}{AB}$$

Since we know the value of angle A and the length of one side, we can use any of these formulas to find the other sides. For the first question, we have:

$$\sin 30° = \frac{BC}{AC}$$

$$BC = AC \times \sin 30°$$

$$BC = 12 \times \frac{1}{2}$$

$$BC = 6$$

So, the length of BC is 6 cm.

For the second question, we have:

$$\cos 30° = \frac{AB}{AC}$$

$$AB = AC \times \cos 30°$$

$$AB = 3 \times \frac{\sqrt{3}}{2}$$

$$AB = \frac{3\sqrt{3}}{2}$$

So, the length of AB is approximately 2.6 dm.Ответь+подробно.++ДАМ+100+БАЛОВ+у+прямокутному+трикутнику+АВС+([С=90°)+(+А=30°)+знайдіть+:+ВС,якщо+АВ=12+см+2)+АВ,якщо+ВС=3+дм+​+