Прямоугольные треугольники

$$BC = \sqrt{AB^2 - AC^2} = \sqrt{25^2 - 20^2} = \sqrt{625 - 400} = \sqrt{225} = 15$$

$$\sin A = \frac{BC}{AB} = \frac{15}{25} = 0,6$$

$$AB = \sqrt{AC^2 + BC^2} = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25$$

$$\cos A = \frac{AC}{AB} = \frac{7}{25} = \frac{28}{100} = 0,28$$

$$AB = \sqrt{AC^2 + BC^2} = \sqrt{24^2 + 7^2} = \sqrt{576 + 49} = \sqrt{625} = 25$$

$$\sin A = \frac{BC}{AB} = \frac{7}{25} = 0,28$$

$$\tg A = \frac{BC}{AC} \Rightarrow AC = \frac{BC}{\tg A} = \frac{4}{0,5} = 8$$

$$\tg A = \frac{BC}{AC} \Rightarrow AC = \frac{BC}{\tg A} = \frac{4}{\dfrac{4 \sqrt{33}}{33}} = \sqrt{33}$$

$$AB = \sqrt{AC^2 + BC^2} = \sqrt{(\sqrt{33})^2 + 4^2} = \sqrt{33 + 16} = \sqrt{49} = 7$$