Prove that two equilateral triangles are equal if the side of one triangle is equal to the side of the other triangle.
| August 4, 2021 | education
Given:
equilateral triangle ABC and equilateral triangle A1B1C1.
AB = A1B1
Prove:
triangle ABC = triangle A1B1C1
Solution:
triangle ABC – equilateral (AB = BC = CA)
triangle A1B1C1 – also equilateral (A1B1 = B1C1 = C1A1)
If AB = A1B1, then all sides will be respectively equal to each other, which means that the triangles are also equal.
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