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Are triangles equilateral?
Some triangles are equilateral, but not all of them. There are three types of triangles. Triangles which have three equal sides and three equal angles are called equilateral triangles. Isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides and no equal angles.
Two equilateral triangles are sometimes similar?
Two equilateral triangles are always similar!
Are two arbitrarily chosen equilateral triangles similar?
Yes. Corresponding angles of the two triangles are always equal, and lengths of corresponding sides are always in the same ratio.
Are angles in an isoceles triangle equal?
Isosceles triangles have at least 2 equal angles. The 3rd angle can either be equal to the other two (it's then called an equilateral triangle), or it can be different from the two equal angles, in which case it's an isosceles triangle. All equilateral triangles are isosceles triangles, but not all isosceles triangles are equilateral triangles.
Can all isosceles triangles be equilateral triangles?
No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.
