sina = 4/5, siny = 3/5. a = 12. Найдите c.

По теореме синусов:

$$\frac{a}{sin \alpha} = \frac{c}{sin \gamma}$$, где:

• a = 12
• sin α = 4/5
• sin γ = 3/5

Тогда:

$$\frac{12}{\frac{4}{5}} = \frac{c}{\frac{3}{5}}$$ $$\frac{12 \cdot 5}{4} = \frac{c \cdot 5}{3}$$ $$15 = \frac{5c}{3}$$ $$5c = 45$$ $$c = \frac{45}{5}$$ $$c = 9$$

Ответ: с = 9