Yes or they could be congruent to each other.
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similar triangles have all the same angles in each of them, and their sides can be of any length
In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.
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.
Similar triangles are those which have the same set of 3 angles but the length of their sides is perhaps different - in other words they are exactly the same SHAPE but they are different size. Equilateral triangles have all 3 angles equal ( all 60degrees) so the answer is YES.
Two triangles are said to be similar if the ratio of the sides of one triangle to the corresponding sides of the other triangle remains the same. One consequence is that all corresponding angles are the same.