What are the similar sides of a triangle?

| February 19, 2021 | education

Two triangles are called similar if they are translated into each other by such a transformation, in which the distances between points increase or decrease by the same number of times. The sides of the triangle are called similar, since they are in the corresponding place opposite the corresponding corners. Corresponding, or similar, sides in similar triangles lie opposite equal angles. For example, triangles ABC and A1B1C1 are similar, in triangle ABC side AB is 5 cm, and in triangle A1B1C1 side A1B1 = 10 cm, BC = 3, B1C1 = 6, AC = 4, A1C1 = 8 angle C and angle C1 are 30 degrees and the angle B and B1 = 45, the angle A = 105, and the angle A1 is 105. In the triangle data, the sides AB and A1B1 are similar. the coefficient of similarity is 10/5 = 2, and these sides are located opposite equal angles – C and C1. The sides ВС and В1С1, АС and А1С1 are also similar.



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