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Why must all equilateral triangles be similar?

Answer 1

Violet Aldrich

See explanation.

There are 3 ways of recognizing if two triangles are similar. One of them is:

In equilateral triangles all angles are equal, so the condition of similarity stated above in point 1 (aaa) is met.

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Answer 2

Aurora Ayala

All equilateral triangles must be similar because they have congruent angles and proportional sides. In an equilateral triangle, all three interior angles are equal, measuring 60 degrees each. Additionally, all three sides are of equal length. Since similarity of triangles depends on both angle congruence and proportional side lengths, any two equilateral triangles will have the same angles and proportional side lengths, making them similar. Therefore, all equilateral triangles are similar.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.