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to construct a triangle, we need 3 parts / elements out of which one should be a side
If it were, there would be no need to have two different names for it. An isosceles triangle has two equal sides. An equilateral triangle has all three sides equal.
The answer depends on what information you have but, basically, you need to add together the lengths of the three sides of the triangle.
Only two of the three sides need to be the same size in an isosceles triangle.
If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.