Question

Решите пожалуйста, модно с рисунком! В треугольнике ABC AB=12 см, BC=18 см, угол B= 70 градусов, а в треугольнике MNK MN=6 cм,NK=9 см, угол N=70 градусов. Подобны ли треугольники ABC и MNK?

Answer 1

Ответ:

да

Объяснение:

Тут и рисунок не нужен, второй признак подобия. Треугольники подобны по двум пропорциональным сторонам и углу между ними

Answer 2

Triangles ABC and MNK

To determine if triangles ABC and MNK are similar, we need to compare their corresponding sides and angles.

Given information: - Triangle ABC: AB = 12 cm, BC = 18 cm, angle B = 70 degrees. - Triangle MNK: MN = 6 cm, NK = 9 cm, angle N = 70 degrees.

To determine if the triangles are similar, we need to check if their corresponding angles are equal and if the ratios of their corresponding sides are equal.

Comparing Angles

Both triangles have an angle B and an angle N that are equal to 70 degrees. This means that one pair of corresponding angles is equal.

Comparing Sides

To compare the sides, we can calculate the ratios of the corresponding sides and check if they are equal.

For triangle ABC: - AB = 12 cm - BC = 18 cm

For triangle MNK: - MN = 6 cm - NK = 9 cm

Let's calculate the ratios:

- Ratio of AB to MN: AB/MN = 12/6 = 2 - Ratio of BC to NK: BC/NK = 18/9 = 2

The ratios of the corresponding sides AB/MN and BC/NK are equal. Therefore, the triangles ABC and MNK are similar.

Conclusion

In conclusion, triangles ABC and MNK are similar because they have one pair of corresponding angles that are equal and the ratios of their corresponding sides are equal.