Prove that triangles ABC and A1B1C1 are equal if the angle A = angle A1 and AB: A1B1 = A1C1: AC.
| July 14, 2021 | education
Since the ratios of the sides AB and A1B1, as well as the sides of AC and A1C1, are equal to each other for both triangles, then if the angles A and A1 are equal, nothing else can be as the fact that the sides BC and B1C1 also have the same ratio simply from the construction of triangles. Therefore, triangles ABC and A1B1C1 are equal in size.
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