Question

В треугольнике АВС и MNK угол А равен углу M. AB=6 см, АС= 8 см, MN= 12 см, MK= 16 см. Являются ли треугольники подобными?

Answer 1

Треугольники являются подобными по первому признаку подобия

Answer 2

Given Information

We are given the following information about triangles ABC and MNK: - Angle A in triangle ABC is equal to angle M in triangle MNK. - AB = 6 cm, AC = 8 cm, MN = 12 cm, MK = 16 cm.

Similarity of Triangles

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

In triangle ABC, we have: - AB = 6 cm - AC = 8 cm

In triangle MNK, we have: - MN = 12 cm - MK = 16 cm

To check for similarity, we need to compare the ratios of corresponding sides. Let's calculate the ratios:

- Ratio of AB to MN: AB/MN = 6/12 = 1/2 - Ratio of AC to MK: AC/MK = 8/16 = 1/2

The ratios of the corresponding sides are equal, which means the triangles are similar.

Conclusion

Triangles ABC and MNK are similar because their corresponding sides are proportional, with a ratio of 1/2